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Finding the Third Proportional to 2,362.25 and 5,149.75

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Solution

The third proportional to 2,362.25 and 5,149.75 is: 11,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.25 : 5,149.75 = 5,149.75 : x
  2. Step 2: Convert to fraction form
    2,362.25/5,149.75 = 5,149.75/x
  3. Step 3: Cross multiply
    2,362.25x = 5,149.75 × 5,149.75
  4. Step 4: Simplify right side
    2,362.25x = 26,519,925.06
  5. Step 5: Solve for x
    x = 26,519,925.06/2,362.25
  6. Step 6: Final answer
    x = 11,226.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.