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Finding the Third Proportional to 6,986.25 and 14,974.88

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Solution

The third proportional to 6,986.25 and 14,974.88 is: 32,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.25 : 14,974.88 = 14,974.88 : x
  2. Step 2: Convert to fraction form
    6,986.25/14,974.88 = 14,974.88/x
  3. Step 3: Cross multiply
    6,986.25x = 14,974.88 × 14,974.88
  4. Step 4: Simplify right side
    6,986.25x = 224,246,881.27
  5. Step 5: Solve for x
    x = 224,246,881.27/6,986.25
  6. Step 6: Final answer
    x = 32,098.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.