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Finding the Third Proportional to 9,470 and 22,422

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Solution

The third proportional to 9,470 and 22,422 is: 53,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470 : 22,422 = 22,422 : x
  2. Step 2: Convert to fraction form
    9,470/22,422 = 22,422/x
  3. Step 3: Cross multiply
    9,470x = 22,422 × 22,422
  4. Step 4: Simplify right side
    9,470x = 502,746,084
  5. Step 5: Solve for x
    x = 502,746,084/9,470
  6. Step 6: Final answer
    x = 53,088.29

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.