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Finding the Third Proportional to 2,526.25 and 3,042.75

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Solution

The third proportional to 2,526.25 and 3,042.75 is: 3,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.25 : 3,042.75 = 3,042.75 : x
  2. Step 2: Convert to fraction form
    2,526.25/3,042.75 = 3,042.75/x
  3. Step 3: Cross multiply
    2,526.25x = 3,042.75 × 3,042.75
  4. Step 4: Simplify right side
    2,526.25x = 9,258,327.56
  5. Step 5: Solve for x
    x = 9,258,327.56/2,526.25
  6. Step 6: Final answer
    x = 3,664.85

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.