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Finding the Third Proportional to 6,098 and 9,414

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Solution

The third proportional to 6,098 and 9,414 is: 14,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098 : 9,414 = 9,414 : x
  2. Step 2: Convert to fraction form
    6,098/9,414 = 9,414/x
  3. Step 3: Cross multiply
    6,098x = 9,414 × 9,414
  4. Step 4: Simplify right side
    6,098x = 88,623,396
  5. Step 5: Solve for x
    x = 88,623,396/6,098
  6. Step 6: Final answer
    x = 14,533.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.