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Finding the Third Proportional to 23.50 and 32.19

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Solution

The third proportional to 23.50 and 32.19 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.50 : 32.19 = 32.19 : x
  2. Step 2: Convert to fraction form
    23.50/32.19 = 32.19/x
  3. Step 3: Cross multiply
    23.50x = 32.19 × 32.19
  4. Step 4: Simplify right side
    23.50x = 1,036.04
  5. Step 5: Solve for x
    x = 1,036.04/23.50
  6. Step 6: Final answer
    x = 44.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.