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Finding the Third Proportional to 37,366.95 and 41,288.17

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Solution

The third proportional to 37,366.95 and 41,288.17 is: 45,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,366.95 : 41,288.17 = 41,288.17 : x
  2. Step 2: Convert to fraction form
    37,366.95/41,288.17 = 41,288.17/x
  3. Step 3: Cross multiply
    37,366.95x = 41,288.17 × 41,288.17
  4. Step 4: Simplify right side
    37,366.95x = 1,704,712,814.22
  5. Step 5: Solve for x
    x = 1,704,712,814.22/37,366.95
  6. Step 6: Final answer
    x = 45,620.88

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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.