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Finding the Third Proportional to 34,319.95 and 74,437.73

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Solution

The third proportional to 34,319.95 and 74,437.73 is: 161,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319.95 : 74,437.73 = 74,437.73 : x
  2. Step 2: Convert to fraction form
    34,319.95/74,437.73 = 74,437.73/x
  3. Step 3: Cross multiply
    34,319.95x = 74,437.73 × 74,437.73
  4. Step 4: Simplify right side
    34,319.95x = 5,540,976,298.88
  5. Step 5: Solve for x
    x = 5,540,976,298.88/34,319.95
  6. Step 6: Final answer
    x = 161,450.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.