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Finding the Third Proportional to 16,893 and 24,831

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Solution

The third proportional to 16,893 and 24,831 is: 36,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893 : 24,831 = 24,831 : x
  2. Step 2: Convert to fraction form
    16,893/24,831 = 24,831/x
  3. Step 3: Cross multiply
    16,893x = 24,831 × 24,831
  4. Step 4: Simplify right side
    16,893x = 616,578,561
  5. Step 5: Solve for x
    x = 616,578,561/16,893
  6. Step 6: Final answer
    x = 36,499.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.