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Finding the Third Proportional to 16,098 and 22,587

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Solution

The third proportional to 16,098 and 22,587 is: 31,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098 : 22,587 = 22,587 : x
  2. Step 2: Convert to fraction form
    16,098/22,587 = 22,587/x
  3. Step 3: Cross multiply
    16,098x = 22,587 × 22,587
  4. Step 4: Simplify right side
    16,098x = 510,172,569
  5. Step 5: Solve for x
    x = 510,172,569/16,098
  6. Step 6: Final answer
    x = 31,691.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.