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Finding the Third Proportional to 2,034.56 and 2,763.56

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Solution

The third proportional to 2,034.56 and 2,763.56 is: 3,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.56 : 2,763.56 = 2,763.56 : x
  2. Step 2: Convert to fraction form
    2,034.56/2,763.56 = 2,763.56/x
  3. Step 3: Cross multiply
    2,034.56x = 2,763.56 × 2,763.56
  4. Step 4: Simplify right side
    2,034.56x = 7,637,277.69
  5. Step 5: Solve for x
    x = 7,637,277.69/2,034.56
  6. Step 6: Final answer
    x = 3,753.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.