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Finding the Third Proportional to 13,600 and 31,340

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Solution

The third proportional to 13,600 and 31,340 is: 72,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600 : 31,340 = 31,340 : x
  2. Step 2: Convert to fraction form
    13,600/31,340 = 31,340/x
  3. Step 3: Cross multiply
    13,600x = 31,340 × 31,340
  4. Step 4: Simplify right side
    13,600x = 982,195,600
  5. Step 5: Solve for x
    x = 982,195,600/13,600
  6. Step 6: Final answer
    x = 72,220.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.