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Finding the Third Proportional to 52.36 and 111.47

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Solution

The third proportional to 52.36 and 111.47 is: 237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.36 : 111.47 = 111.47 : x
  2. Step 2: Convert to fraction form
    52.36/111.47 = 111.47/x
  3. Step 3: Cross multiply
    52.36x = 111.47 × 111.47
  4. Step 4: Simplify right side
    52.36x = 12,425.28
  5. Step 5: Solve for x
    x = 12,425.28/52.36
  6. Step 6: Final answer
    x = 237.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.