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Finding the Third Proportional to 24,712 and 37,282

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Solution

The third proportional to 24,712 and 37,282 is: 56,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712 : 37,282 = 37,282 : x
  2. Step 2: Convert to fraction form
    24,712/37,282 = 37,282/x
  3. Step 3: Cross multiply
    24,712x = 37,282 × 37,282
  4. Step 4: Simplify right side
    24,712x = 1,389,947,524
  5. Step 5: Solve for x
    x = 1,389,947,524/24,712
  6. Step 6: Final answer
    x = 56,245.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.