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Finding the Third Proportional to 2,355.19 and 5,114.81

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Solution

The third proportional to 2,355.19 and 5,114.81 is: 11,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.19 : 5,114.81 = 5,114.81 : x
  2. Step 2: Convert to fraction form
    2,355.19/5,114.81 = 5,114.81/x
  3. Step 3: Cross multiply
    2,355.19x = 5,114.81 × 5,114.81
  4. Step 4: Simplify right side
    2,355.19x = 26,161,306.91
  5. Step 5: Solve for x
    x = 26,161,306.91/2,355.19
  6. Step 6: Final answer
    x = 11,107.95

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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.