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Finding the Third Proportional to 22,328 and 35,542

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Solution

The third proportional to 22,328 and 35,542 is: 56,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328 : 35,542 = 35,542 : x
  2. Step 2: Convert to fraction form
    22,328/35,542 = 35,542/x
  3. Step 3: Cross multiply
    22,328x = 35,542 × 35,542
  4. Step 4: Simplify right side
    22,328x = 1,263,233,764
  5. Step 5: Solve for x
    x = 1,263,233,764/22,328
  6. Step 6: Final answer
    x = 56,576.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.