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Finding the Third Proportional to 6,502.78 and 9,468.14

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Solution

The third proportional to 6,502.78 and 9,468.14 is: 13,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 9,468.14 = 9,468.14 : x
  2. Step 2: Convert to fraction form
    6,502.78/9,468.14 = 9,468.14/x
  3. Step 3: Cross multiply
    6,502.78x = 9,468.14 × 9,468.14
  4. Step 4: Simplify right side
    6,502.78x = 89,645,686.89
  5. Step 5: Solve for x
    x = 89,645,686.89/6,502.78
  6. Step 6: Final answer
    x = 13,785.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.