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Finding the Third Proportional to 948.19 and 2,057.44

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Solution

The third proportional to 948.19 and 2,057.44 is: 4,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.19 : 2,057.44 = 2,057.44 : x
  2. Step 2: Convert to fraction form
    948.19/2,057.44 = 2,057.44/x
  3. Step 3: Cross multiply
    948.19x = 2,057.44 × 2,057.44
  4. Step 4: Simplify right side
    948.19x = 4,233,049.07
  5. Step 5: Solve for x
    x = 4,233,049.07/948.19
  6. Step 6: Final answer
    x = 4,464.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.