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Finding the Third Proportional to 16,948 and 22,642

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Solution

The third proportional to 16,948 and 22,642 is: 30,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,948 : 22,642 = 22,642 : x
  2. Step 2: Convert to fraction form
    16,948/22,642 = 22,642/x
  3. Step 3: Cross multiply
    16,948x = 22,642 × 22,642
  4. Step 4: Simplify right side
    16,948x = 512,660,164
  5. Step 5: Solve for x
    x = 512,660,164/16,948
  6. Step 6: Final answer
    x = 30,249.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.