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Finding the Third Proportional to 2,035.13 and 3,219.19

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Solution

The third proportional to 2,035.13 and 3,219.19 is: 5,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.13 : 3,219.19 = 3,219.19 : x
  2. Step 2: Convert to fraction form
    2,035.13/3,219.19 = 3,219.19/x
  3. Step 3: Cross multiply
    2,035.13x = 3,219.19 × 3,219.19
  4. Step 4: Simplify right side
    2,035.13x = 10,363,168.16
  5. Step 5: Solve for x
    x = 10,363,168.16/2,035.13
  6. Step 6: Final answer
    x = 5,092.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.