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Finding the Third Proportional to 1,441.13 and 2,024.16

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Solution

The third proportional to 1,441.13 and 2,024.16 is: 2,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.13 : 2,024.16 = 2,024.16 : x
  2. Step 2: Convert to fraction form
    1,441.13/2,024.16 = 2,024.16/x
  3. Step 3: Cross multiply
    1,441.13x = 2,024.16 × 2,024.16
  4. Step 4: Simplify right side
    1,441.13x = 4,097,208.52
  5. Step 5: Solve for x
    x = 4,097,208.52/1,441.13
  6. Step 6: Final answer
    x = 2,843.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.