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Finding the Third Proportional to 34,228.13 and 73,549.13

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Solution

The third proportional to 34,228.13 and 73,549.13 is: 158,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228.13 : 73,549.13 = 73,549.13 : x
  2. Step 2: Convert to fraction form
    34,228.13/73,549.13 = 73,549.13/x
  3. Step 3: Cross multiply
    34,228.13x = 73,549.13 × 73,549.13
  4. Step 4: Simplify right side
    34,228.13x = 5,409,473,788.27
  5. Step 5: Solve for x
    x = 5,409,473,788.27/34,228.13
  6. Step 6: Final answer
    x = 158,041.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.