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Finding the Third Proportional to 6,975.75 and 10,462.88

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Solution

The third proportional to 6,975.75 and 10,462.88 is: 15,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.75 : 10,462.88 = 10,462.88 : x
  2. Step 2: Convert to fraction form
    6,975.75/10,462.88 = 10,462.88/x
  3. Step 3: Cross multiply
    6,975.75x = 10,462.88 × 10,462.88
  4. Step 4: Simplify right side
    6,975.75x = 109,471,753.27
  5. Step 5: Solve for x
    x = 109,471,753.27/6,975.75
  6. Step 6: Final answer
    x = 15,693.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.