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Finding the Third Proportional to 2,062.69 and 4,535.44

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Solution

The third proportional to 2,062.69 and 4,535.44 is: 9,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.69 : 4,535.44 = 4,535.44 : x
  2. Step 2: Convert to fraction form
    2,062.69/4,535.44 = 4,535.44/x
  3. Step 3: Cross multiply
    2,062.69x = 4,535.44 × 4,535.44
  4. Step 4: Simplify right side
    2,062.69x = 20,570,193.32
  5. Step 5: Solve for x
    x = 20,570,193.32/2,062.69
  6. Step 6: Final answer
    x = 9,972.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.