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Finding the Third Proportional to 32,167.13 and 45,375.19

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Solution

The third proportional to 32,167.13 and 45,375.19 is: 64,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.13 : 45,375.19 = 45,375.19 : x
  2. Step 2: Convert to fraction form
    32,167.13/45,375.19 = 45,375.19/x
  3. Step 3: Cross multiply
    32,167.13x = 45,375.19 × 45,375.19
  4. Step 4: Simplify right side
    32,167.13x = 2,058,907,640.66
  5. Step 5: Solve for x
    x = 2,058,907,640.66/32,167.13
  6. Step 6: Final answer
    x = 64,006.58

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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.