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Finding the Third Proportional to 4,692.38 and 10,255.22

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Solution

The third proportional to 4,692.38 and 10,255.22 is: 22,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.38 : 10,255.22 = 10,255.22 : x
  2. Step 2: Convert to fraction form
    4,692.38/10,255.22 = 10,255.22/x
  3. Step 3: Cross multiply
    4,692.38x = 10,255.22 × 10,255.22
  4. Step 4: Simplify right side
    4,692.38x = 105,169,511.61
  5. Step 5: Solve for x
    x = 105,169,511.61/4,692.38
  6. Step 6: Final answer
    x = 22,412.85

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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.