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Finding the Third Proportional to 2,770.88 and 6,003.28

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Solution

The third proportional to 2,770.88 and 6,003.28 is: 13,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.88 : 6,003.28 = 6,003.28 : x
  2. Step 2: Convert to fraction form
    2,770.88/6,003.28 = 6,003.28/x
  3. Step 3: Cross multiply
    2,770.88x = 6,003.28 × 6,003.28
  4. Step 4: Simplify right side
    2,770.88x = 36,039,385.77
  5. Step 5: Solve for x
    x = 36,039,385.77/2,770.88
  6. Step 6: Final answer
    x = 13,006.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.