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Finding the Third Proportional to 48.75 and 74.81

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Solution

The third proportional to 48.75 and 74.81 is: 114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.75 : 74.81 = 74.81 : x
  2. Step 2: Convert to fraction form
    48.75/74.81 = 74.81/x
  3. Step 3: Cross multiply
    48.75x = 74.81 × 74.81
  4. Step 4: Simplify right side
    48.75x = 5,596.91
  5. Step 5: Solve for x
    x = 5,596.91/48.75
  6. Step 6: Final answer
    x = 114.81

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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.