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Finding the Third Proportional to 6,228.75 and 13,034.25

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Solution

The third proportional to 6,228.75 and 13,034.25 is: 27,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.75 : 13,034.25 = 13,034.25 : x
  2. Step 2: Convert to fraction form
    6,228.75/13,034.25 = 13,034.25/x
  3. Step 3: Cross multiply
    6,228.75x = 13,034.25 × 13,034.25
  4. Step 4: Simplify right side
    6,228.75x = 169,891,673.06
  5. Step 5: Solve for x
    x = 169,891,673.06/6,228.75
  6. Step 6: Final answer
    x = 27,275.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.