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Finding the Third Proportional to 16,009.88 and 25,149.38

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Solution

The third proportional to 16,009.88 and 25,149.38 is: 39,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.88 : 25,149.38 = 25,149.38 : x
  2. Step 2: Convert to fraction form
    16,009.88/25,149.38 = 25,149.38/x
  3. Step 3: Cross multiply
    16,009.88x = 25,149.38 × 25,149.38
  4. Step 4: Simplify right side
    16,009.88x = 632,491,062.89
  5. Step 5: Solve for x
    x = 632,491,062.89/16,009.88
  6. Step 6: Final answer
    x = 39,506.31

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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.