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Finding the Third Proportional to 12,301.88 and 18,515.25

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Solution

The third proportional to 12,301.88 and 18,515.25 is: 27,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.88 : 18,515.25 = 18,515.25 : x
  2. Step 2: Convert to fraction form
    12,301.88/18,515.25 = 18,515.25/x
  3. Step 3: Cross multiply
    12,301.88x = 18,515.25 × 18,515.25
  4. Step 4: Simplify right side
    12,301.88x = 342,814,482.56
  5. Step 5: Solve for x
    x = 342,814,482.56/12,301.88
  6. Step 6: Final answer
    x = 27,866.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.