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Finding the Third Proportional to 5,583 and 12,137

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Solution

The third proportional to 5,583 and 12,137 is: 26,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583 : 12,137 = 12,137 : x
  2. Step 2: Convert to fraction form
    5,583/12,137 = 12,137/x
  3. Step 3: Cross multiply
    5,583x = 12,137 × 12,137
  4. Step 4: Simplify right side
    5,583x = 147,306,769
  5. Step 5: Solve for x
    x = 147,306,769/5,583
  6. Step 6: Final answer
    x = 26,384.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.