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Finding the Third Proportional to 27,371.67 and 37,008.14

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Solution

The third proportional to 27,371.67 and 37,008.14 is: 50,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,371.67 : 37,008.14 = 37,008.14 : x
  2. Step 2: Convert to fraction form
    27,371.67/37,008.14 = 37,008.14/x
  3. Step 3: Cross multiply
    27,371.67x = 37,008.14 × 37,008.14
  4. Step 4: Simplify right side
    27,371.67x = 1,369,602,472.52
  5. Step 5: Solve for x
    x = 1,369,602,472.52/27,371.67
  6. Step 6: Final answer
    x = 50,037.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.