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Finding the Third Proportional to 5,326.88 and 11,692.41

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Solution

The third proportional to 5,326.88 and 11,692.41 is: 25,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.88 : 11,692.41 = 11,692.41 : x
  2. Step 2: Convert to fraction form
    5,326.88/11,692.41 = 11,692.41/x
  3. Step 3: Cross multiply
    5,326.88x = 11,692.41 × 11,692.41
  4. Step 4: Simplify right side
    5,326.88x = 136,712,363.92
  5. Step 5: Solve for x
    x = 136,712,363.92/5,326.88
  6. Step 6: Final answer
    x = 25,664.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.