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Finding the Third Proportional to 24,572 and 38,110

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Solution

The third proportional to 24,572 and 38,110 is: 59,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572 : 38,110 = 38,110 : x
  2. Step 2: Convert to fraction form
    24,572/38,110 = 38,110/x
  3. Step 3: Cross multiply
    24,572x = 38,110 × 38,110
  4. Step 4: Simplify right side
    24,572x = 1,452,372,100
  5. Step 5: Solve for x
    x = 1,452,372,100/24,572
  6. Step 6: Final answer
    x = 59,106.79

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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.