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Finding the Third Proportional to 6,614.16 and 10,259.16

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Solution

The third proportional to 6,614.16 and 10,259.16 is: 15,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.16 : 10,259.16 = 10,259.16 : x
  2. Step 2: Convert to fraction form
    6,614.16/10,259.16 = 10,259.16/x
  3. Step 3: Cross multiply
    6,614.16x = 10,259.16 × 10,259.16
  4. Step 4: Simplify right side
    6,614.16x = 105,250,286.96
  5. Step 5: Solve for x
    x = 105,250,286.96/6,614.16
  6. Step 6: Final answer
    x = 15,912.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.