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Finding the Third Proportional to 39,564 and 61,458

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Solution

The third proportional to 39,564 and 61,458 is: 95,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564 : 61,458 = 61,458 : x
  2. Step 2: Convert to fraction form
    39,564/61,458 = 61,458/x
  3. Step 3: Cross multiply
    39,564x = 61,458 × 61,458
  4. Step 4: Simplify right side
    39,564x = 3,777,085,764
  5. Step 5: Solve for x
    x = 3,777,085,764/39,564
  6. Step 6: Final answer
    x = 95,467.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.