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Finding the Third Proportional to 39,205.13 and 59,172.19

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Solution

The third proportional to 39,205.13 and 59,172.19 is: 89,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,205.13 : 59,172.19 = 59,172.19 : x
  2. Step 2: Convert to fraction form
    39,205.13/59,172.19 = 59,172.19/x
  3. Step 3: Cross multiply
    39,205.13x = 59,172.19 × 59,172.19
  4. Step 4: Simplify right side
    39,205.13x = 3,501,347,773.54
  5. Step 5: Solve for x
    x = 3,501,347,773.54/39,205.13
  6. Step 6: Final answer
    x = 89,308.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.