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Finding the Third Proportional to 25,542 and 38,157

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Solution

The third proportional to 25,542 and 38,157 is: 57,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542 : 38,157 = 38,157 : x
  2. Step 2: Convert to fraction form
    25,542/38,157 = 38,157/x
  3. Step 3: Cross multiply
    25,542x = 38,157 × 38,157
  4. Step 4: Simplify right side
    25,542x = 1,455,956,649
  5. Step 5: Solve for x
    x = 1,455,956,649/25,542
  6. Step 6: Final answer
    x = 57,002.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.