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Finding the Third Proportional to 37,366.95 and 73,695.92

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Solution

The third proportional to 37,366.95 and 73,695.92 is: 145,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,366.95 : 73,695.92 = 73,695.92 : x
  2. Step 2: Convert to fraction form
    37,366.95/73,695.92 = 73,695.92/x
  3. Step 3: Cross multiply
    37,366.95x = 73,695.92 × 73,695.92
  4. Step 4: Simplify right side
    37,366.95x = 5,431,088,613.13
  5. Step 5: Solve for x
    x = 5,431,088,613.13/37,366.95
  6. Step 6: Final answer
    x = 145,344.73

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.