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Finding the Third Proportional to 15,034 and 22,422

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Solution

The third proportional to 15,034 and 22,422 is: 33,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034 : 22,422 = 22,422 : x
  2. Step 2: Convert to fraction form
    15,034/22,422 = 22,422/x
  3. Step 3: Cross multiply
    15,034x = 22,422 × 22,422
  4. Step 4: Simplify right side
    15,034x = 502,746,084
  5. Step 5: Solve for x
    x = 502,746,084/15,034
  6. Step 6: Final answer
    x = 33,440.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.