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Finding the Third Proportional to 34,523.63 and 75,637.13

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Solution

The third proportional to 34,523.63 and 75,637.13 is: 165,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,523.63 : 75,637.13 = 75,637.13 : x
  2. Step 2: Convert to fraction form
    34,523.63/75,637.13 = 75,637.13/x
  3. Step 3: Cross multiply
    34,523.63x = 75,637.13 × 75,637.13
  4. Step 4: Simplify right side
    34,523.63x = 5,720,974,678.27
  5. Step 5: Solve for x
    x = 5,720,974,678.27/34,523.63
  6. Step 6: Final answer
    x = 165,711.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.