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Finding the Third Proportional to 2,435.70 and 5,240.95

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Solution

The third proportional to 2,435.70 and 5,240.95 is: 11,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.70 : 5,240.95 = 5,240.95 : x
  2. Step 2: Convert to fraction form
    2,435.70/5,240.95 = 5,240.95/x
  3. Step 3: Cross multiply
    2,435.70x = 5,240.95 × 5,240.95
  4. Step 4: Simplify right side
    2,435.70x = 27,467,589.66
  5. Step 5: Solve for x
    x = 27,467,589.66/2,435.70
  6. Step 6: Final answer
    x = 11,277.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.