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Finding the Third Proportional to 37,117.69 and 50,428.97

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Solution

The third proportional to 37,117.69 and 50,428.97 is: 68,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,117.69 : 50,428.97 = 50,428.97 : x
  2. Step 2: Convert to fraction form
    37,117.69/50,428.97 = 50,428.97/x
  3. Step 3: Cross multiply
    37,117.69x = 50,428.97 × 50,428.97
  4. Step 4: Simplify right side
    37,117.69x = 2,543,080,889.19
  5. Step 5: Solve for x
    x = 2,543,080,889.19/37,117.69
  6. Step 6: Final answer
    x = 68,513.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.