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Finding the Third Proportional to 2,033.16 and 2,720.53

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Solution

The third proportional to 2,033.16 and 2,720.53 is: 3,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.16 : 2,720.53 = 2,720.53 : x
  2. Step 2: Convert to fraction form
    2,033.16/2,720.53 = 2,720.53/x
  3. Step 3: Cross multiply
    2,033.16x = 2,720.53 × 2,720.53
  4. Step 4: Simplify right side
    2,033.16x = 7,401,290.28
  5. Step 5: Solve for x
    x = 7,401,290.28/2,033.16
  6. Step 6: Final answer
    x = 3,640.30

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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.