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Finding the Third Proportional to 25,154 and 38,499

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Solution

The third proportional to 25,154 and 38,499 is: 58,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154 : 38,499 = 38,499 : x
  2. Step 2: Convert to fraction form
    25,154/38,499 = 38,499/x
  3. Step 3: Cross multiply
    25,154x = 38,499 × 38,499
  4. Step 4: Simplify right side
    25,154x = 1,482,173,001
  5. Step 5: Solve for x
    x = 1,482,173,001/25,154
  6. Step 6: Final answer
    x = 58,923.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.