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Finding the Third Proportional to 8,797.36 and 11,686.78

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Solution

The third proportional to 8,797.36 and 11,686.78 is: 15,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,797.36 : 11,686.78 = 11,686.78 : x
  2. Step 2: Convert to fraction form
    8,797.36/11,686.78 = 11,686.78/x
  3. Step 3: Cross multiply
    8,797.36x = 11,686.78 × 11,686.78
  4. Step 4: Simplify right side
    8,797.36x = 136,580,855.99
  5. Step 5: Solve for x
    x = 136,580,855.99/8,797.36
  6. Step 6: Final answer
    x = 15,525.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.