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Finding the Third Proportional to 16,386 and 24,599

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Solution

The third proportional to 16,386 and 24,599 is: 36,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386 : 24,599 = 24,599 : x
  2. Step 2: Convert to fraction form
    16,386/24,599 = 24,599/x
  3. Step 3: Cross multiply
    16,386x = 24,599 × 24,599
  4. Step 4: Simplify right side
    16,386x = 605,110,801
  5. Step 5: Solve for x
    x = 605,110,801/16,386
  6. Step 6: Final answer
    x = 36,928.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.