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Finding the Third Proportional to 5,383.13 and 6,165.28

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Solution

The third proportional to 5,383.13 and 6,165.28 is: 7,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.13 : 6,165.28 = 6,165.28 : x
  2. Step 2: Convert to fraction form
    5,383.13/6,165.28 = 6,165.28/x
  3. Step 3: Cross multiply
    5,383.13x = 6,165.28 × 6,165.28
  4. Step 4: Simplify right side
    5,383.13x = 38,010,692.89
  5. Step 5: Solve for x
    x = 38,010,692.89/5,383.13
  6. Step 6: Final answer
    x = 7,061.08

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.