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Finding the Third Proportional to 1,043.93 and 2,057.48

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Solution

The third proportional to 1,043.93 and 2,057.48 is: 4,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.93 : 2,057.48 = 2,057.48 : x
  2. Step 2: Convert to fraction form
    1,043.93/2,057.48 = 2,057.48/x
  3. Step 3: Cross multiply
    1,043.93x = 2,057.48 × 2,057.48
  4. Step 4: Simplify right side
    1,043.93x = 4,233,241.95
  5. Step 5: Solve for x
    x = 4,233,241.95/1,043.93
  6. Step 6: Final answer
    x = 4,055.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.