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Finding the Third Proportional to 30.75 and 46.50

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Solution

The third proportional to 30.75 and 46.50 is: 70.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 46.50 = 46.50 : x
  2. Step 2: Convert to fraction form
    30.75/46.50 = 46.50/x
  3. Step 3: Cross multiply
    30.75x = 46.50 × 46.50
  4. Step 4: Simplify right side
    30.75x = 2,162.25
  5. Step 5: Solve for x
    x = 2,162.25/30.75
  6. Step 6: Final answer
    x = 70.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.