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Finding the Third Proportional to 30.75 and 32.50

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Solution

The third proportional to 30.75 and 32.50 is: 34.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 32.50 = 32.50 : x
  2. Step 2: Convert to fraction form
    30.75/32.50 = 32.50/x
  3. Step 3: Cross multiply
    30.75x = 32.50 × 32.50
  4. Step 4: Simplify right side
    30.75x = 1,056.25
  5. Step 5: Solve for x
    x = 1,056.25/30.75
  6. Step 6: Final answer
    x = 34.35

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.