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Finding the Third Proportional to 15 and 32.25

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Solution

The third proportional to 15 and 32.25 is: 69.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15 : 32.25 = 32.25 : x
  2. Step 2: Convert to fraction form
    15/32.25 = 32.25/x
  3. Step 3: Cross multiply
    15x = 32.25 × 32.25
  4. Step 4: Simplify right side
    15x = 1,040.06
  5. Step 5: Solve for x
    x = 1,040.06/15
  6. Step 6: Final answer
    x = 69.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.