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Finding the Third Proportional to 23.75 and 32.07

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Solution

The third proportional to 23.75 and 32.07 is: 43.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 32.07 = 32.07 : x
  2. Step 2: Convert to fraction form
    23.75/32.07 = 32.07/x
  3. Step 3: Cross multiply
    23.75x = 32.07 × 32.07
  4. Step 4: Simplify right side
    23.75x = 1,028.29
  5. Step 5: Solve for x
    x = 1,028.29/23.75
  6. Step 6: Final answer
    x = 43.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.