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Finding the Third Proportional to 48.52 and 74.46

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Solution

The third proportional to 48.52 and 74.46 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.52 : 74.46 = 74.46 : x
  2. Step 2: Convert to fraction form
    48.52/74.46 = 74.46/x
  3. Step 3: Cross multiply
    48.52x = 74.46 × 74.46
  4. Step 4: Simplify right side
    48.52x = 5,544.43
  5. Step 5: Solve for x
    x = 5,544.43/48.52
  6. Step 6: Final answer
    x = 114.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.