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Finding the Third Proportional to 8,569.69 and 11,966.06

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Solution

The third proportional to 8,569.69 and 11,966.06 is: 16,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.69 : 11,966.06 = 11,966.06 : x
  2. Step 2: Convert to fraction form
    8,569.69/11,966.06 = 11,966.06/x
  3. Step 3: Cross multiply
    8,569.69x = 11,966.06 × 11,966.06
  4. Step 4: Simplify right side
    8,569.69x = 143,186,651.75
  5. Step 5: Solve for x
    x = 143,186,651.75/8,569.69
  6. Step 6: Final answer
    x = 16,708.50

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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.