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Finding the Third Proportional to 2,265.47 and 5,057.44

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Solution

The third proportional to 2,265.47 and 5,057.44 is: 11,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.47 : 5,057.44 = 5,057.44 : x
  2. Step 2: Convert to fraction form
    2,265.47/5,057.44 = 5,057.44/x
  3. Step 3: Cross multiply
    2,265.47x = 5,057.44 × 5,057.44
  4. Step 4: Simplify right side
    2,265.47x = 25,577,674.07
  5. Step 5: Solve for x
    x = 25,577,674.07/2,265.47
  6. Step 6: Final answer
    x = 11,290.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.