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Finding the Third Proportional to 6,077.25 and 13,279.25

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Solution

The third proportional to 6,077.25 and 13,279.25 is: 29,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.25 : 13,279.25 = 13,279.25 : x
  2. Step 2: Convert to fraction form
    6,077.25/13,279.25 = 13,279.25/x
  3. Step 3: Cross multiply
    6,077.25x = 13,279.25 × 13,279.25
  4. Step 4: Simplify right side
    6,077.25x = 176,338,480.56
  5. Step 5: Solve for x
    x = 176,338,480.56/6,077.25
  6. Step 6: Final answer
    x = 29,016.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.