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Finding the Third Proportional to 22,280 and 31,340

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Solution

The third proportional to 22,280 and 31,340 is: 44,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280 : 31,340 = 31,340 : x
  2. Step 2: Convert to fraction form
    22,280/31,340 = 31,340/x
  3. Step 3: Cross multiply
    22,280x = 31,340 × 31,340
  4. Step 4: Simplify right side
    22,280x = 982,195,600
  5. Step 5: Solve for x
    x = 982,195,600/22,280
  6. Step 6: Final answer
    x = 44,084.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.