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Finding the Third Proportional to 16,161.75 and 24,833.25

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Solution

The third proportional to 16,161.75 and 24,833.25 is: 38,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.75 : 24,833.25 = 24,833.25 : x
  2. Step 2: Convert to fraction form
    16,161.75/24,833.25 = 24,833.25/x
  3. Step 3: Cross multiply
    16,161.75x = 24,833.25 × 24,833.25
  4. Step 4: Simplify right side
    16,161.75x = 616,690,305.56
  5. Step 5: Solve for x
    x = 616,690,305.56/16,161.75
  6. Step 6: Final answer
    x = 38,157.40

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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.