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Finding the Third Proportional to 34,642.13 and 74,463.75

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Solution

The third proportional to 34,642.13 and 74,463.75 is: 160,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642.13 : 74,463.75 = 74,463.75 : x
  2. Step 2: Convert to fraction form
    34,642.13/74,463.75 = 74,463.75/x
  3. Step 3: Cross multiply
    34,642.13x = 74,463.75 × 74,463.75
  4. Step 4: Simplify right side
    34,642.13x = 5,544,850,064.06
  5. Step 5: Solve for x
    x = 5,544,850,064.06/34,642.13
  6. Step 6: Final answer
    x = 160,060.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.