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Finding the Third Proportional to 30.56 and 48.75

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Solution

The third proportional to 30.56 and 48.75 is: 77.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.56 : 48.75 = 48.75 : x
  2. Step 2: Convert to fraction form
    30.56/48.75 = 48.75/x
  3. Step 3: Cross multiply
    30.56x = 48.75 × 48.75
  4. Step 4: Simplify right side
    30.56x = 2,376.56
  5. Step 5: Solve for x
    x = 2,376.56/30.56
  6. Step 6: Final answer
    x = 77.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.