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Finding the Third Proportional to 2,024.68 and 4,352.17

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Solution

The third proportional to 2,024.68 and 4,352.17 is: 9,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.68 : 4,352.17 = 4,352.17 : x
  2. Step 2: Convert to fraction form
    2,024.68/4,352.17 = 4,352.17/x
  3. Step 3: Cross multiply
    2,024.68x = 4,352.17 × 4,352.17
  4. Step 4: Simplify right side
    2,024.68x = 18,941,366.03
  5. Step 5: Solve for x
    x = 18,941,366.03/2,024.68
  6. Step 6: Final answer
    x = 9,355.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.