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Finding the Third Proportional to 16,968 and 24,478

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Solution

The third proportional to 16,968 and 24,478 is: 35,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,968 : 24,478 = 24,478 : x
  2. Step 2: Convert to fraction form
    16,968/24,478 = 24,478/x
  3. Step 3: Cross multiply
    16,968x = 24,478 × 24,478
  4. Step 4: Simplify right side
    16,968x = 599,172,484
  5. Step 5: Solve for x
    x = 599,172,484/16,968
  6. Step 6: Final answer
    x = 35,311.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.