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Finding the Third Proportional to 2,462.50 and 5,309.75

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Solution

The third proportional to 2,462.50 and 5,309.75 is: 11,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.50 : 5,309.75 = 5,309.75 : x
  2. Step 2: Convert to fraction form
    2,462.50/5,309.75 = 5,309.75/x
  3. Step 3: Cross multiply
    2,462.50x = 5,309.75 × 5,309.75
  4. Step 4: Simplify right side
    2,462.50x = 28,193,445.06
  5. Step 5: Solve for x
    x = 28,193,445.06/2,462.50
  6. Step 6: Final answer
    x = 11,449.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.