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Finding the Third Proportional to 6,390.14 and 9,872.82

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Solution

The third proportional to 6,390.14 and 9,872.82 is: 15,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.14 : 9,872.82 = 9,872.82 : x
  2. Step 2: Convert to fraction form
    6,390.14/9,872.82 = 9,872.82/x
  3. Step 3: Cross multiply
    6,390.14x = 9,872.82 × 9,872.82
  4. Step 4: Simplify right side
    6,390.14x = 97,472,658.05
  5. Step 5: Solve for x
    x = 97,472,658.05/6,390.14
  6. Step 6: Final answer
    x = 15,253.60

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