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Finding the Third Proportional to 6,117.25 and 10,301.75

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Solution

The third proportional to 6,117.25 and 10,301.75 is: 17,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.25 : 10,301.75 = 10,301.75 : x
  2. Step 2: Convert to fraction form
    6,117.25/10,301.75 = 10,301.75/x
  3. Step 3: Cross multiply
    6,117.25x = 10,301.75 × 10,301.75
  4. Step 4: Simplify right side
    6,117.25x = 106,126,053.06
  5. Step 5: Solve for x
    x = 106,126,053.06/6,117.25
  6. Step 6: Final answer
    x = 17,348.65

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.