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Finding the Third Proportional to 37,384.03 and 41,382.14

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Solution

The third proportional to 37,384.03 and 41,382.14 is: 45,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384.03 : 41,382.14 = 41,382.14 : x
  2. Step 2: Convert to fraction form
    37,384.03/41,382.14 = 41,382.14/x
  3. Step 3: Cross multiply
    37,384.03x = 41,382.14 × 41,382.14
  4. Step 4: Simplify right side
    37,384.03x = 1,712,481,562.71
  5. Step 5: Solve for x
    x = 1,712,481,562.71/37,384.03
  6. Step 6: Final answer
    x = 45,807.84

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.