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Finding the Third Proportional to 22,049 and 32,148.75

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Solution

The third proportional to 22,049 and 32,148.75 is: 46,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049 : 32,148.75 = 32,148.75 : x
  2. Step 2: Convert to fraction form
    22,049/32,148.75 = 32,148.75/x
  3. Step 3: Cross multiply
    22,049x = 32,148.75 × 32,148.75
  4. Step 4: Simplify right side
    22,049x = 1,033,542,126.56
  5. Step 5: Solve for x
    x = 1,033,542,126.56/22,049
  6. Step 6: Final answer
    x = 46,874.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.