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Finding the Third Proportional to 41,640 and 62,460

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Solution

The third proportional to 41,640 and 62,460 is: 93,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,640 : 62,460 = 62,460 : x
  2. Step 2: Convert to fraction form
    41,640/62,460 = 62,460/x
  3. Step 3: Cross multiply
    41,640x = 62,460 × 62,460
  4. Step 4: Simplify right side
    41,640x = 3,901,251,600
  5. Step 5: Solve for x
    x = 3,901,251,600/41,640
  6. Step 6: Final answer
    x = 93,690

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.