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Finding the Third Proportional to 16,087 and 24,599

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Solution

The third proportional to 16,087 and 24,599 is: 37,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,087 : 24,599 = 24,599 : x
  2. Step 2: Convert to fraction form
    16,087/24,599 = 24,599/x
  3. Step 3: Cross multiply
    16,087x = 24,599 × 24,599
  4. Step 4: Simplify right side
    16,087x = 605,110,801
  5. Step 5: Solve for x
    x = 605,110,801/16,087
  6. Step 6: Final answer
    x = 37,614.89

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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.