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Finding the Third Proportional to 762.75 and 2,073.52

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Solution

The third proportional to 762.75 and 2,073.52 is: 5,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.75 : 2,073.52 = 2,073.52 : x
  2. Step 2: Convert to fraction form
    762.75/2,073.52 = 2,073.52/x
  3. Step 3: Cross multiply
    762.75x = 2,073.52 × 2,073.52
  4. Step 4: Simplify right side
    762.75x = 4,299,467.05
  5. Step 5: Solve for x
    x = 4,299,467.05/762.75
  6. Step 6: Final answer
    x = 5,636.80

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.