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Finding the Third Proportional to 7,966.69 and 11,152.69

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Solution

The third proportional to 7,966.69 and 11,152.69 is: 15,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.69 : 11,152.69 = 11,152.69 : x
  2. Step 2: Convert to fraction form
    7,966.69/11,152.69 = 11,152.69/x
  3. Step 3: Cross multiply
    7,966.69x = 11,152.69 × 11,152.69
  4. Step 4: Simplify right side
    7,966.69x = 124,382,438.47
  5. Step 5: Solve for x
    x = 124,382,438.47/7,966.69
  6. Step 6: Final answer
    x = 15,612.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.