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Finding the Third Proportional to 16,380 and 24,873.75

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Solution

The third proportional to 16,380 and 24,873.75 is: 37,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380 : 24,873.75 = 24,873.75 : x
  2. Step 2: Convert to fraction form
    16,380/24,873.75 = 24,873.75/x
  3. Step 3: Cross multiply
    16,380x = 24,873.75 × 24,873.75
  4. Step 4: Simplify right side
    16,380x = 618,703,439.06
  5. Step 5: Solve for x
    x = 618,703,439.06/16,380
  6. Step 6: Final answer
    x = 37,771.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.