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Finding the Third Proportional to 2,057.59 and 4,444.24

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Solution

The third proportional to 2,057.59 and 4,444.24 is: 9,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.59 : 4,444.24 = 4,444.24 : x
  2. Step 2: Convert to fraction form
    2,057.59/4,444.24 = 4,444.24/x
  3. Step 3: Cross multiply
    2,057.59x = 4,444.24 × 4,444.24
  4. Step 4: Simplify right side
    2,057.59x = 19,751,288.62
  5. Step 5: Solve for x
    x = 19,751,288.62/2,057.59
  6. Step 6: Final answer
    x = 9,599.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.