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Finding the Third Proportional to 10,966.50 and 17,660.81

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Solution

The third proportional to 10,966.50 and 17,660.81 is: 28,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.50 : 17,660.81 = 17,660.81 : x
  2. Step 2: Convert to fraction form
    10,966.50/17,660.81 = 17,660.81/x
  3. Step 3: Cross multiply
    10,966.50x = 17,660.81 × 17,660.81
  4. Step 4: Simplify right side
    10,966.50x = 311,904,298.16
  5. Step 5: Solve for x
    x = 311,904,298.16/10,966.50
  6. Step 6: Final answer
    x = 28,441.55

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.