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Finding the Third Proportional to 22,348 and 31,238

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Solution

The third proportional to 22,348 and 31,238 is: 43,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348 : 31,238 = 31,238 : x
  2. Step 2: Convert to fraction form
    22,348/31,238 = 31,238/x
  3. Step 3: Cross multiply
    22,348x = 31,238 × 31,238
  4. Step 4: Simplify right side
    22,348x = 975,812,644
  5. Step 5: Solve for x
    x = 975,812,644/22,348
  6. Step 6: Final answer
    x = 43,664.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.