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Finding the Third Proportional to 8,868.66 and 13,733.30

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Solution

The third proportional to 8,868.66 and 13,733.30 is: 21,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,868.66 : 13,733.30 = 13,733.30 : x
  2. Step 2: Convert to fraction form
    8,868.66/13,733.30 = 13,733.30/x
  3. Step 3: Cross multiply
    8,868.66x = 13,733.30 × 13,733.30
  4. Step 4: Simplify right side
    8,868.66x = 188,603,443.06
  5. Step 5: Solve for x
    x = 188,603,443.06/8,868.66
  6. Step 6: Final answer
    x = 21,266.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.