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Finding the Third Proportional to 16,202.53 and 25,147.13

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Solution

The third proportional to 16,202.53 and 25,147.13 is: 39,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.53 : 25,147.13 = 25,147.13 : x
  2. Step 2: Convert to fraction form
    16,202.53/25,147.13 = 25,147.13/x
  3. Step 3: Cross multiply
    16,202.53x = 25,147.13 × 25,147.13
  4. Step 4: Simplify right side
    16,202.53x = 632,377,895.77
  5. Step 5: Solve for x
    x = 632,377,895.77/16,202.53
  6. Step 6: Final answer
    x = 39,029.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.