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Finding the Third Proportional to 12,230.30 and 26,551.83

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Solution

The third proportional to 12,230.30 and 26,551.83 is: 57,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.30 : 26,551.83 = 26,551.83 : x
  2. Step 2: Convert to fraction form
    12,230.30/26,551.83 = 26,551.83/x
  3. Step 3: Cross multiply
    12,230.30x = 26,551.83 × 26,551.83
  4. Step 4: Simplify right side
    12,230.30x = 704,999,576.78
  5. Step 5: Solve for x
    x = 704,999,576.78/12,230.30
  6. Step 6: Final answer
    x = 57,643.70

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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.