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Finding the Third Proportional to 571.36 and 1,251.77

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Solution

The third proportional to 571.36 and 1,251.77 is: 2,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.36 : 1,251.77 = 1,251.77 : x
  2. Step 2: Convert to fraction form
    571.36/1,251.77 = 1,251.77/x
  3. Step 3: Cross multiply
    571.36x = 1,251.77 × 1,251.77
  4. Step 4: Simplify right side
    571.36x = 1,566,936.74
  5. Step 5: Solve for x
    x = 1,566,936.74/571.36
  6. Step 6: Final answer
    x = 2,742.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.