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Finding the Third Proportional to 8,666.50 and 18,565

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Solution

The third proportional to 8,666.50 and 18,565 is: 39,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.50 : 18,565 = 18,565 : x
  2. Step 2: Convert to fraction form
    8,666.50/18,565 = 18,565/x
  3. Step 3: Cross multiply
    8,666.50x = 18,565 × 18,565
  4. Step 4: Simplify right side
    8,666.50x = 344,659,225
  5. Step 5: Solve for x
    x = 344,659,225/8,666.50
  6. Step 6: Final answer
    x = 39,769.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.