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Finding the Third Proportional to 2,499.19 and 6,194.81

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Solution

The third proportional to 2,499.19 and 6,194.81 is: 15,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.19 : 6,194.81 = 6,194.81 : x
  2. Step 2: Convert to fraction form
    2,499.19/6,194.81 = 6,194.81/x
  3. Step 3: Cross multiply
    2,499.19x = 6,194.81 × 6,194.81
  4. Step 4: Simplify right side
    2,499.19x = 38,375,701.91
  5. Step 5: Solve for x
    x = 38,375,701.91/2,499.19
  6. Step 6: Final answer
    x = 15,355.27

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.