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Finding the Third Proportional to 8,871.19 and 11,896.88

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Solution

The third proportional to 8,871.19 and 11,896.88 is: 15,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.19 : 11,896.88 = 11,896.88 : x
  2. Step 2: Convert to fraction form
    8,871.19/11,896.88 = 11,896.88/x
  3. Step 3: Cross multiply
    8,871.19x = 11,896.88 × 11,896.88
  4. Step 4: Simplify right side
    8,871.19x = 141,535,634.77
  5. Step 5: Solve for x
    x = 141,535,634.77/8,871.19
  6. Step 6: Final answer
    x = 15,954.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.