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Finding the Third Proportional to 11,686.78 and 27,352.69

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Solution

The third proportional to 11,686.78 and 27,352.69 is: 64,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.78 : 27,352.69 = 27,352.69 : x
  2. Step 2: Convert to fraction form
    11,686.78/27,352.69 = 27,352.69/x
  3. Step 3: Cross multiply
    11,686.78x = 27,352.69 × 27,352.69
  4. Step 4: Simplify right side
    11,686.78x = 748,169,513.47
  5. Step 5: Solve for x
    x = 748,169,513.47/11,686.78
  6. Step 6: Final answer
    x = 64,018.44

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.