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Finding the Third Proportional to 22,058 and 32,439

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Solution

The third proportional to 22,058 and 32,439 is: 47,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,058 : 32,439 = 32,439 : x
  2. Step 2: Convert to fraction form
    22,058/32,439 = 32,439/x
  3. Step 3: Cross multiply
    22,058x = 32,439 × 32,439
  4. Step 4: Simplify right side
    22,058x = 1,052,288,721
  5. Step 5: Solve for x
    x = 1,052,288,721/22,058
  6. Step 6: Final answer
    x = 47,705.54

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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.