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Finding the Third Proportional to 22,540 and 42,260

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Solution

The third proportional to 22,540 and 42,260 is: 79,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540 : 42,260 = 42,260 : x
  2. Step 2: Convert to fraction form
    22,540/42,260 = 42,260/x
  3. Step 3: Cross multiply
    22,540x = 42,260 × 42,260
  4. Step 4: Simplify right side
    22,540x = 1,785,907,600
  5. Step 5: Solve for x
    x = 1,785,907,600/22,540
  6. Step 6: Final answer
    x = 79,232.81

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.