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Finding the Third Proportional to 15.02 and 32.44

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Solution

The third proportional to 15.02 and 32.44 is: 70.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.02 : 32.44 = 32.44 : x
  2. Step 2: Convert to fraction form
    15.02/32.44 = 32.44/x
  3. Step 3: Cross multiply
    15.02x = 32.44 × 32.44
  4. Step 4: Simplify right side
    15.02x = 1,052.13
  5. Step 5: Solve for x
    x = 1,052.13/15.02
  6. Step 6: Final answer
    x = 70.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.