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Finding the Third Proportional to 6,463.13 and 9,695.25

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Solution

The third proportional to 6,463.13 and 9,695.25 is: 14,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.13 : 9,695.25 = 9,695.25 : x
  2. Step 2: Convert to fraction form
    6,463.13/9,695.25 = 9,695.25/x
  3. Step 3: Cross multiply
    6,463.13x = 9,695.25 × 9,695.25
  4. Step 4: Simplify right side
    6,463.13x = 93,997,872.56
  5. Step 5: Solve for x
    x = 93,997,872.56/6,463.13
  6. Step 6: Final answer
    x = 14,543.72

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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.