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Finding the Third Proportional to 46,976 and 62,624

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Solution

The third proportional to 46,976 and 62,624 is: 83,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976 : 62,624 = 62,624 : x
  2. Step 2: Convert to fraction form
    46,976/62,624 = 62,624/x
  3. Step 3: Cross multiply
    46,976x = 62,624 × 62,624
  4. Step 4: Simplify right side
    46,976x = 3,921,765,376
  5. Step 5: Solve for x
    x = 3,921,765,376/46,976
  6. Step 6: Final answer
    x = 83,484.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.