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Finding the Third Proportional to 6,246.25 and 13,301.69

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Solution

The third proportional to 6,246.25 and 13,301.69 is: 28,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.25 : 13,301.69 = 13,301.69 : x
  2. Step 2: Convert to fraction form
    6,246.25/13,301.69 = 13,301.69/x
  3. Step 3: Cross multiply
    6,246.25x = 13,301.69 × 13,301.69
  4. Step 4: Simplify right side
    6,246.25x = 176,934,890.35
  5. Step 5: Solve for x
    x = 176,934,890.35/6,246.25
  6. Step 6: Final answer
    x = 28,326.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.