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Finding the Third Proportional to 23,996.25 and 37,695.38

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Solution

The third proportional to 23,996.25 and 37,695.38 is: 59,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,996.25 : 37,695.38 = 37,695.38 : x
  2. Step 2: Convert to fraction form
    23,996.25/37,695.38 = 37,695.38/x
  3. Step 3: Cross multiply
    23,996.25x = 37,695.38 × 37,695.38
  4. Step 4: Simplify right side
    23,996.25x = 1,420,941,296.39
  5. Step 5: Solve for x
    x = 1,420,941,296.39/23,996.25
  6. Step 6: Final answer
    x = 59,215.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.