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Finding the Third Proportional to 39,452.06 and 85,465.13

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Solution

The third proportional to 39,452.06 and 85,465.13 is: 185,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,452.06 : 85,465.13 = 85,465.13 : x
  2. Step 2: Convert to fraction form
    39,452.06/85,465.13 = 85,465.13/x
  3. Step 3: Cross multiply
    39,452.06x = 85,465.13 × 85,465.13
  4. Step 4: Simplify right side
    39,452.06x = 7,304,287,591.27
  5. Step 5: Solve for x
    x = 7,304,287,591.27/39,452.06
  6. Step 6: Final answer
    x = 185,143.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.