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Finding the Third Proportional to 51.47 and 112.64

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Solution

The third proportional to 51.47 and 112.64 is: 246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 112.64 = 112.64 : x
  2. Step 2: Convert to fraction form
    51.47/112.64 = 112.64/x
  3. Step 3: Cross multiply
    51.47x = 112.64 × 112.64
  4. Step 4: Simplify right side
    51.47x = 12,687.91
  5. Step 5: Solve for x
    x = 12,687.91/51.47
  6. Step 6: Final answer
    x = 246.52

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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.