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Finding the Third Proportional to 12,850.31 and 14,672.81

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Solution

The third proportional to 12,850.31 and 14,672.81 is: 16,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.31 : 14,672.81 = 14,672.81 : x
  2. Step 2: Convert to fraction form
    12,850.31/14,672.81 = 14,672.81/x
  3. Step 3: Cross multiply
    12,850.31x = 14,672.81 × 14,672.81
  4. Step 4: Simplify right side
    12,850.31x = 215,291,426.66
  5. Step 5: Solve for x
    x = 215,291,426.66/12,850.31
  6. Step 6: Final answer
    x = 16,753.79

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.