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Finding the Third Proportional to 15 and 23.06

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Solution

The third proportional to 15 and 23.06 is: 35.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15 : 23.06 = 23.06 : x
  2. Step 2: Convert to fraction form
    15/23.06 = 23.06/x
  3. Step 3: Cross multiply
    15x = 23.06 × 23.06
  4. Step 4: Simplify right side
    15x = 531.88
  5. Step 5: Solve for x
    x = 531.88/15
  6. Step 6: Final answer
    x = 35.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.