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Finding the Third Proportional to 16,017.75 and 25,588.13

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Solution

The third proportional to 16,017.75 and 25,588.13 is: 40,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.75 : 25,588.13 = 25,588.13 : x
  2. Step 2: Convert to fraction form
    16,017.75/25,588.13 = 25,588.13/x
  3. Step 3: Cross multiply
    16,017.75x = 25,588.13 × 25,588.13
  4. Step 4: Simplify right side
    16,017.75x = 654,752,141.02
  5. Step 5: Solve for x
    x = 654,752,141.02/16,017.75
  6. Step 6: Final answer
    x = 40,876.66

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.