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Finding the Third Proportional to 39,340.13 and 91,648.13

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Solution

The third proportional to 39,340.13 and 91,648.13 is: 213,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,340.13 : 91,648.13 = 91,648.13 : x
  2. Step 2: Convert to fraction form
    39,340.13/91,648.13 = 91,648.13/x
  3. Step 3: Cross multiply
    39,340.13x = 91,648.13 × 91,648.13
  4. Step 4: Simplify right side
    39,340.13x = 8,399,378,816.02
  5. Step 5: Solve for x
    x = 8,399,378,816.02/39,340.13
  6. Step 6: Final answer
    x = 213,506.66

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.