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Finding the Third Proportional to 49,231.97 and 54,307.13

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Solution

The third proportional to 49,231.97 and 54,307.13 is: 59,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,231.97 : 54,307.13 = 54,307.13 : x
  2. Step 2: Convert to fraction form
    49,231.97/54,307.13 = 54,307.13/x
  3. Step 3: Cross multiply
    49,231.97x = 54,307.13 × 54,307.13
  4. Step 4: Simplify right side
    49,231.97x = 2,949,263,825.77
  5. Step 5: Solve for x
    x = 2,949,263,825.77/49,231.97
  6. Step 6: Final answer
    x = 59,905.46

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.