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Finding the Third Proportional to 13,963 and 30,436

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Solution

The third proportional to 13,963 and 30,436 is: 66,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963 : 30,436 = 30,436 : x
  2. Step 2: Convert to fraction form
    13,963/30,436 = 30,436/x
  3. Step 3: Cross multiply
    13,963x = 30,436 × 30,436
  4. Step 4: Simplify right side
    13,963x = 926,350,096
  5. Step 5: Solve for x
    x = 926,350,096/13,963
  6. Step 6: Final answer
    x = 66,343.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.