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Finding the Third Proportional to 2,326.22 and 5,061.87

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Solution

The third proportional to 2,326.22 and 5,061.87 is: 11,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.22 : 5,061.87 = 5,061.87 : x
  2. Step 2: Convert to fraction form
    2,326.22/5,061.87 = 5,061.87/x
  3. Step 3: Cross multiply
    2,326.22x = 5,061.87 × 5,061.87
  4. Step 4: Simplify right side
    2,326.22x = 25,622,499.42
  5. Step 5: Solve for x
    x = 25,622,499.42/2,326.22
  6. Step 6: Final answer
    x = 11,014.66

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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.