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Finding the Third Proportional to 2,060.25 and 2,235.75

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Solution

The third proportional to 2,060.25 and 2,235.75 is: 2,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.25 : 2,235.75 = 2,235.75 : x
  2. Step 2: Convert to fraction form
    2,060.25/2,235.75 = 2,235.75/x
  3. Step 3: Cross multiply
    2,060.25x = 2,235.75 × 2,235.75
  4. Step 4: Simplify right side
    2,060.25x = 4,998,578.06
  5. Step 5: Solve for x
    x = 4,998,578.06/2,060.25
  6. Step 6: Final answer
    x = 2,426.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.