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Finding the Third Proportional to 51.47 and 75.23

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Solution

The third proportional to 51.47 and 75.23 is: 109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 75.23 = 75.23 : x
  2. Step 2: Convert to fraction form
    51.47/75.23 = 75.23/x
  3. Step 3: Cross multiply
    51.47x = 75.23 × 75.23
  4. Step 4: Simplify right side
    51.47x = 5,660.21
  5. Step 5: Solve for x
    x = 5,660.21/51.47
  6. Step 6: Final answer
    x = 109.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.