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Finding the Third Proportional to 3,615.89 and 7,692.05

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Solution

The third proportional to 3,615.89 and 7,692.05 is: 16,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.89 : 7,692.05 = 7,692.05 : x
  2. Step 2: Convert to fraction form
    3,615.89/7,692.05 = 7,692.05/x
  3. Step 3: Cross multiply
    3,615.89x = 7,692.05 × 7,692.05
  4. Step 4: Simplify right side
    3,615.89x = 59,167,585.13
  5. Step 5: Solve for x
    x = 59,167,585.13/3,615.89
  6. Step 6: Final answer
    x = 16,363.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.