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Finding the Third Proportional to 34,342.31 and 72,425.81

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Solution

The third proportional to 34,342.31 and 72,425.81 is: 152,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,342.31 : 72,425.81 = 72,425.81 : x
  2. Step 2: Convert to fraction form
    34,342.31/72,425.81 = 72,425.81/x
  3. Step 3: Cross multiply
    34,342.31x = 72,425.81 × 72,425.81
  4. Step 4: Simplify right side
    34,342.31x = 5,245,498,316.29
  5. Step 5: Solve for x
    x = 5,245,498,316.29/34,342.31
  6. Step 6: Final answer
    x = 152,741.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.