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Finding the Third Proportional to 2,854.13 and 6,194.25

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Solution

The third proportional to 2,854.13 and 6,194.25 is: 13,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.13 : 6,194.25 = 6,194.25 : x
  2. Step 2: Convert to fraction form
    2,854.13/6,194.25 = 6,194.25/x
  3. Step 3: Cross multiply
    2,854.13x = 6,194.25 × 6,194.25
  4. Step 4: Simplify right side
    2,854.13x = 38,368,733.06
  5. Step 5: Solve for x
    x = 38,368,733.06/2,854.13
  6. Step 6: Final answer
    x = 13,443.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.