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Finding the Third Proportional to 6,098.25 and 8,914.88

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Solution

The third proportional to 6,098.25 and 8,914.88 is: 13,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.25 : 8,914.88 = 8,914.88 : x
  2. Step 2: Convert to fraction form
    6,098.25/8,914.88 = 8,914.88/x
  3. Step 3: Cross multiply
    6,098.25x = 8,914.88 × 8,914.88
  4. Step 4: Simplify right side
    6,098.25x = 79,474,996.27
  5. Step 5: Solve for x
    x = 79,474,996.27/6,098.25
  6. Step 6: Final answer
    x = 13,032.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.