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Finding the Third Proportional to 24,896 and 38,548

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Solution

The third proportional to 24,896 and 38,548 is: 59,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896 : 38,548 = 38,548 : x
  2. Step 2: Convert to fraction form
    24,896/38,548 = 38,548/x
  3. Step 3: Cross multiply
    24,896x = 38,548 × 38,548
  4. Step 4: Simplify right side
    24,896x = 1,485,948,304
  5. Step 5: Solve for x
    x = 1,485,948,304/24,896
  6. Step 6: Final answer
    x = 59,686.23

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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.