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Finding the Third Proportional to 24,525 and 38,861

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Solution

The third proportional to 24,525 and 38,861 is: 61,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,525 : 38,861 = 38,861 : x
  2. Step 2: Convert to fraction form
    24,525/38,861 = 38,861/x
  3. Step 3: Cross multiply
    24,525x = 38,861 × 38,861
  4. Step 4: Simplify right side
    24,525x = 1,510,177,321
  5. Step 5: Solve for x
    x = 1,510,177,321/24,525
  6. Step 6: Final answer
    x = 61,577.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.