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Finding the Third Proportional to 49,911.75 and 75,820.13

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Solution

The third proportional to 49,911.75 and 75,820.13 is: 115,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911.75 : 75,820.13 = 75,820.13 : x
  2. Step 2: Convert to fraction form
    49,911.75/75,820.13 = 75,820.13/x
  3. Step 3: Cross multiply
    49,911.75x = 75,820.13 × 75,820.13
  4. Step 4: Simplify right side
    49,911.75x = 5,748,691,355.02
  5. Step 5: Solve for x
    x = 5,748,691,355.02/49,911.75
  6. Step 6: Final answer
    x = 115,177.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.