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Finding the Third Proportional to 2,011.25 and 2,623.75

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Solution

The third proportional to 2,011.25 and 2,623.75 is: 3,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.25 : 2,623.75 = 2,623.75 : x
  2. Step 2: Convert to fraction form
    2,011.25/2,623.75 = 2,623.75/x
  3. Step 3: Cross multiply
    2,011.25x = 2,623.75 × 2,623.75
  4. Step 4: Simplify right side
    2,011.25x = 6,884,064.06
  5. Step 5: Solve for x
    x = 6,884,064.06/2,011.25
  6. Step 6: Final answer
    x = 3,422.78

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.