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Finding the Third Proportional to 2,692.41 and 4,158.42

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Solution

The third proportional to 2,692.41 and 4,158.42 is: 6,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.41 : 4,158.42 = 4,158.42 : x
  2. Step 2: Convert to fraction form
    2,692.41/4,158.42 = 4,158.42/x
  3. Step 3: Cross multiply
    2,692.41x = 4,158.42 × 4,158.42
  4. Step 4: Simplify right side
    2,692.41x = 17,292,472.49
  5. Step 5: Solve for x
    x = 17,292,472.49/2,692.41
  6. Step 6: Final answer
    x = 6,422.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.