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Finding the Third Proportional to 12,596.13 and 18,868.57

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Solution

The third proportional to 12,596.13 and 18,868.57 is: 28,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.13 : 18,868.57 = 18,868.57 : x
  2. Step 2: Convert to fraction form
    12,596.13/18,868.57 = 18,868.57/x
  3. Step 3: Cross multiply
    12,596.13x = 18,868.57 × 18,868.57
  4. Step 4: Simplify right side
    12,596.13x = 356,022,945.64
  5. Step 5: Solve for x
    x = 356,022,945.64/12,596.13
  6. Step 6: Final answer
    x = 28,264.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.