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Finding the Third Proportional to 3,603.23 and 6,750.84

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Solution

The third proportional to 3,603.23 and 6,750.84 is: 12,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.23 : 6,750.84 = 6,750.84 : x
  2. Step 2: Convert to fraction form
    3,603.23/6,750.84 = 6,750.84/x
  3. Step 3: Cross multiply
    3,603.23x = 6,750.84 × 6,750.84
  4. Step 4: Simplify right side
    3,603.23x = 45,573,891.34
  5. Step 5: Solve for x
    x = 45,573,891.34/3,603.23
  6. Step 6: Final answer
    x = 12,648.05

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.