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Finding the Third Proportional to 22,737 and 34,596

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Solution

The third proportional to 22,737 and 34,596 is: 52,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737 : 34,596 = 34,596 : x
  2. Step 2: Convert to fraction form
    22,737/34,596 = 34,596/x
  3. Step 3: Cross multiply
    22,737x = 34,596 × 34,596
  4. Step 4: Simplify right side
    22,737x = 1,196,883,216
  5. Step 5: Solve for x
    x = 1,196,883,216/22,737
  6. Step 6: Final answer
    x = 52,640.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.