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Finding the Third Proportional to 16,128.75 and 25,345.13

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Solution

The third proportional to 16,128.75 and 25,345.13 is: 39,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.75 : 25,345.13 = 25,345.13 : x
  2. Step 2: Convert to fraction form
    16,128.75/25,345.13 = 25,345.13/x
  3. Step 3: Cross multiply
    16,128.75x = 25,345.13 × 25,345.13
  4. Step 4: Simplify right side
    16,128.75x = 642,375,361.27
  5. Step 5: Solve for x
    x = 642,375,361.27/16,128.75
  6. Step 6: Final answer
    x = 39,827.97

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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.