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Finding the Third Proportional to 2,053.79 and 3,077.21

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Solution

The third proportional to 2,053.79 and 3,077.21 is: 4,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.79 : 3,077.21 = 3,077.21 : x
  2. Step 2: Convert to fraction form
    2,053.79/3,077.21 = 3,077.21/x
  3. Step 3: Cross multiply
    2,053.79x = 3,077.21 × 3,077.21
  4. Step 4: Simplify right side
    2,053.79x = 9,469,215.13
  5. Step 5: Solve for x
    x = 9,469,215.13/2,053.79
  6. Step 6: Final answer
    x = 4,610.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.