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Finding the Third Proportional to 16,594.88 and 24,924.38

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Solution

The third proportional to 16,594.88 and 24,924.38 is: 37,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.88 : 24,924.38 = 24,924.38 : x
  2. Step 2: Convert to fraction form
    16,594.88/24,924.38 = 24,924.38/x
  3. Step 3: Cross multiply
    16,594.88x = 24,924.38 × 24,924.38
  4. Step 4: Simplify right side
    16,594.88x = 621,224,469.14
  5. Step 5: Solve for x
    x = 621,224,469.14/16,594.88
  6. Step 6: Final answer
    x = 37,434.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.