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Finding the Third Proportional to 11,854.13 and 16,677.56

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Solution

The third proportional to 11,854.13 and 16,677.56 is: 23,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.13 : 16,677.56 = 16,677.56 : x
  2. Step 2: Convert to fraction form
    11,854.13/16,677.56 = 16,677.56/x
  3. Step 3: Cross multiply
    11,854.13x = 16,677.56 × 16,677.56
  4. Step 4: Simplify right side
    11,854.13x = 278,141,090.94
  5. Step 5: Solve for x
    x = 278,141,090.94/11,854.13
  6. Step 6: Final answer
    x = 23,463.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.