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Finding the Third Proportional to 39,536 and 61,572

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Solution

The third proportional to 39,536 and 61,572 is: 95,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,536 : 61,572 = 61,572 : x
  2. Step 2: Convert to fraction form
    39,536/61,572 = 61,572/x
  3. Step 3: Cross multiply
    39,536x = 61,572 × 61,572
  4. Step 4: Simplify right side
    39,536x = 3,791,111,184
  5. Step 5: Solve for x
    x = 3,791,111,184/39,536
  6. Step 6: Final answer
    x = 95,890.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.