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Finding the Third Proportional to 39,746 and 61,631

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Solution

The third proportional to 39,746 and 61,631 is: 95,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,746 : 61,631 = 61,631 : x
  2. Step 2: Convert to fraction form
    39,746/61,631 = 61,631/x
  3. Step 3: Cross multiply
    39,746x = 61,631 × 61,631
  4. Step 4: Simplify right side
    39,746x = 3,798,380,161
  5. Step 5: Solve for x
    x = 3,798,380,161/39,746
  6. Step 6: Final answer
    x = 95,566.35

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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.