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Finding the Third Proportional to 6,414 and 13,989

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Solution

The third proportional to 6,414 and 13,989 is: 30,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 13,989 = 13,989 : x
  2. Step 2: Convert to fraction form
    6,414/13,989 = 13,989/x
  3. Step 3: Cross multiply
    6,414x = 13,989 × 13,989
  4. Step 4: Simplify right side
    6,414x = 195,692,121
  5. Step 5: Solve for x
    x = 195,692,121/6,414
  6. Step 6: Final answer
    x = 30,510.15

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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.