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Finding the Third Proportional to 30,169.97 and 57,601.13

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Solution

The third proportional to 30,169.97 and 57,601.13 is: 109,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.97 : 57,601.13 = 57,601.13 : x
  2. Step 2: Convert to fraction form
    30,169.97/57,601.13 = 57,601.13/x
  3. Step 3: Cross multiply
    30,169.97x = 57,601.13 × 57,601.13
  4. Step 4: Simplify right side
    30,169.97x = 3,317,889,601.27
  5. Step 5: Solve for x
    x = 3,317,889,601.27/30,169.97
  6. Step 6: Final answer
    x = 109,973.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.