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Finding the Third Proportional to 8,693.50 and 13,082

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Solution

The third proportional to 8,693.50 and 13,082 is: 19,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.50 : 13,082 = 13,082 : x
  2. Step 2: Convert to fraction form
    8,693.50/13,082 = 13,082/x
  3. Step 3: Cross multiply
    8,693.50x = 13,082 × 13,082
  4. Step 4: Simplify right side
    8,693.50x = 171,138,724
  5. Step 5: Solve for x
    x = 171,138,724/8,693.50
  6. Step 6: Final answer
    x = 19,685.83

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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.