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Finding the Third Proportional to 3,340.30 and 5,253.93

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Solution

The third proportional to 3,340.30 and 5,253.93 is: 8,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.30 : 5,253.93 = 5,253.93 : x
  2. Step 2: Convert to fraction form
    3,340.30/5,253.93 = 5,253.93/x
  3. Step 3: Cross multiply
    3,340.30x = 5,253.93 × 5,253.93
  4. Step 4: Simplify right side
    3,340.30x = 27,603,736.11
  5. Step 5: Solve for x
    x = 27,603,736.11/3,340.30
  6. Step 6: Final answer
    x = 8,263.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.