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Finding the Third Proportional to 16,160.25 and 24,960.75

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Solution

The third proportional to 16,160.25 and 24,960.75 is: 38,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.25 : 24,960.75 = 24,960.75 : x
  2. Step 2: Convert to fraction form
    16,160.25/24,960.75 = 24,960.75/x
  3. Step 3: Cross multiply
    16,160.25x = 24,960.75 × 24,960.75
  4. Step 4: Simplify right side
    16,160.25x = 623,039,040.56
  5. Step 5: Solve for x
    x = 623,039,040.56/16,160.25
  6. Step 6: Final answer
    x = 38,553.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.