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Finding the Third Proportional to 39,865 and 61,076

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Solution

The third proportional to 39,865 and 61,076 is: 93,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,865 : 61,076 = 61,076 : x
  2. Step 2: Convert to fraction form
    39,865/61,076 = 61,076/x
  3. Step 3: Cross multiply
    39,865x = 61,076 × 61,076
  4. Step 4: Simplify right side
    39,865x = 3,730,277,776
  5. Step 5: Solve for x
    x = 3,730,277,776/39,865
  6. Step 6: Final answer
    x = 93,572.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.