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Finding the Third Proportional to 45,829.13 and 72,660.38

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Solution

The third proportional to 45,829.13 and 72,660.38 is: 115,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,829.13 : 72,660.38 = 72,660.38 : x
  2. Step 2: Convert to fraction form
    45,829.13/72,660.38 = 72,660.38/x
  3. Step 3: Cross multiply
    45,829.13x = 72,660.38 × 72,660.38
  4. Step 4: Simplify right side
    45,829.13x = 5,279,530,095.14
  5. Step 5: Solve for x
    x = 5,279,530,095.14/45,829.13
  6. Step 6: Final answer
    x = 115,200.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.