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Finding the Third Proportional to 8,449.31 and 16,458.19

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Solution

The third proportional to 8,449.31 and 16,458.19 is: 32,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.31 : 16,458.19 = 16,458.19 : x
  2. Step 2: Convert to fraction form
    8,449.31/16,458.19 = 16,458.19/x
  3. Step 3: Cross multiply
    8,449.31x = 16,458.19 × 16,458.19
  4. Step 4: Simplify right side
    8,449.31x = 270,871,935.79
  5. Step 5: Solve for x
    x = 270,871,935.79/8,449.31
  6. Step 6: Final answer
    x = 32,058.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.