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Finding the Third Proportional to 9,862.88 and 13,872.75

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Solution

The third proportional to 9,862.88 and 13,872.75 is: 19,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.88 : 13,872.75 = 13,872.75 : x
  2. Step 2: Convert to fraction form
    9,862.88/13,872.75 = 13,872.75/x
  3. Step 3: Cross multiply
    9,862.88x = 13,872.75 × 13,872.75
  4. Step 4: Simplify right side
    9,862.88x = 192,453,192.56
  5. Step 5: Solve for x
    x = 192,453,192.56/9,862.88
  6. Step 6: Final answer
    x = 19,512.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.