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Finding the Third Proportional to 15,972.75 and 25,005.38

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Solution

The third proportional to 15,972.75 and 25,005.38 is: 39,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.75 : 25,005.38 = 25,005.38 : x
  2. Step 2: Convert to fraction form
    15,972.75/25,005.38 = 25,005.38/x
  3. Step 3: Cross multiply
    15,972.75x = 25,005.38 × 25,005.38
  4. Step 4: Simplify right side
    15,972.75x = 625,268,778.89
  5. Step 5: Solve for x
    x = 625,268,778.89/15,972.75
  6. Step 6: Final answer
    x = 39,145.97

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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.