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Finding the Third Proportional to 2,061.28 and 2,765.39

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Solution

The third proportional to 2,061.28 and 2,765.39 is: 3,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.28 : 2,765.39 = 2,765.39 : x
  2. Step 2: Convert to fraction form
    2,061.28/2,765.39 = 2,765.39/x
  3. Step 3: Cross multiply
    2,061.28x = 2,765.39 × 2,765.39
  4. Step 4: Simplify right side
    2,061.28x = 7,647,385.31
  5. Step 5: Solve for x
    x = 7,647,385.31/2,061.28
  6. Step 6: Final answer
    x = 3,710.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.