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Finding the Third Proportional to 22,360 and 31,256

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Solution

The third proportional to 22,360 and 31,256 is: 43,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,360 : 31,256 = 31,256 : x
  2. Step 2: Convert to fraction form
    22,360/31,256 = 31,256/x
  3. Step 3: Cross multiply
    22,360x = 31,256 × 31,256
  4. Step 4: Simplify right side
    22,360x = 976,937,536
  5. Step 5: Solve for x
    x = 976,937,536/22,360
  6. Step 6: Final answer
    x = 43,691.30

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