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Finding the Third Proportional to 30 and 45.75

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Solution

The third proportional to 30 and 45.75 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 45.75 = 45.75 : x
  2. Step 2: Convert to fraction form
    30/45.75 = 45.75/x
  3. Step 3: Cross multiply
    30x = 45.75 × 45.75
  4. Step 4: Simplify right side
    30x = 2,093.06
  5. Step 5: Solve for x
    x = 2,093.06/30
  6. Step 6: Final answer
    x = 69.77

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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.