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Finding the Third Proportional to 2,468.63 and 5,332.31

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Solution

The third proportional to 2,468.63 and 5,332.31 is: 11,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.63 : 5,332.31 = 5,332.31 : x
  2. Step 2: Convert to fraction form
    2,468.63/5,332.31 = 5,332.31/x
  3. Step 3: Cross multiply
    2,468.63x = 5,332.31 × 5,332.31
  4. Step 4: Simplify right side
    2,468.63x = 28,433,556.60
  5. Step 5: Solve for x
    x = 28,433,556.60/2,468.63
  6. Step 6: Final answer
    x = 11,517.97

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