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Finding the Third Proportional to 3,402.95 and 7,327.26

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Solution

The third proportional to 3,402.95 and 7,327.26 is: 15,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.95 : 7,327.26 = 7,327.26 : x
  2. Step 2: Convert to fraction form
    3,402.95/7,327.26 = 7,327.26/x
  3. Step 3: Cross multiply
    3,402.95x = 7,327.26 × 7,327.26
  4. Step 4: Simplify right side
    3,402.95x = 53,688,692.74
  5. Step 5: Solve for x
    x = 53,688,692.74/3,402.95
  6. Step 6: Final answer
    x = 15,777.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.