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Finding the Third Proportional to 6,006.66 and 9,565.17

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Solution

The third proportional to 6,006.66 and 9,565.17 is: 15,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.66 : 9,565.17 = 9,565.17 : x
  2. Step 2: Convert to fraction form
    6,006.66/9,565.17 = 9,565.17/x
  3. Step 3: Cross multiply
    6,006.66x = 9,565.17 × 9,565.17
  4. Step 4: Simplify right side
    6,006.66x = 91,492,513.00
  5. Step 5: Solve for x
    x = 91,492,513.00/6,006.66
  6. Step 6: Final answer
    x = 15,231.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.