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Finding the Third Proportional to 39,644 and 61,584

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Solution

The third proportional to 39,644 and 61,584 is: 95,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,644 : 61,584 = 61,584 : x
  2. Step 2: Convert to fraction form
    39,644/61,584 = 61,584/x
  3. Step 3: Cross multiply
    39,644x = 61,584 × 61,584
  4. Step 4: Simplify right side
    39,644x = 3,792,589,056
  5. Step 5: Solve for x
    x = 3,792,589,056/39,644
  6. Step 6: Final answer
    x = 95,666.16

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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.