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Finding the Third Proportional to 523.12 and 1,126.31

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Solution

The third proportional to 523.12 and 1,126.31 is: 2,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 1,126.31 = 1,126.31 : x
  2. Step 2: Convert to fraction form
    523.12/1,126.31 = 1,126.31/x
  3. Step 3: Cross multiply
    523.12x = 1,126.31 × 1,126.31
  4. Step 4: Simplify right side
    523.12x = 1,268,569.34
  5. Step 5: Solve for x
    x = 1,268,569.34/523.12
  6. Step 6: Final answer
    x = 2,425.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.