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Finding the Third Proportional to 15.28 and 32.06

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Solution

The third proportional to 15.28 and 32.06 is: 67.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.28 : 32.06 = 32.06 : x
  2. Step 2: Convert to fraction form
    15.28/32.06 = 32.06/x
  3. Step 3: Cross multiply
    15.28x = 32.06 × 32.06
  4. Step 4: Simplify right side
    15.28x = 1,028.00
  5. Step 5: Solve for x
    x = 1,028.00/15.28
  6. Step 6: Final answer
    x = 67.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.