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Finding the Third Proportional to 2,235.75 and 2,456.25

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Solution

The third proportional to 2,235.75 and 2,456.25 is: 2,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.75 : 2,456.25 = 2,456.25 : x
  2. Step 2: Convert to fraction form
    2,235.75/2,456.25 = 2,456.25/x
  3. Step 3: Cross multiply
    2,235.75x = 2,456.25 × 2,456.25
  4. Step 4: Simplify right side
    2,235.75x = 6,033,164.06
  5. Step 5: Solve for x
    x = 6,033,164.06/2,235.75
  6. Step 6: Final answer
    x = 2,698.50

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.