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Finding the Third Proportional to 15.14 and 22.01

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Solution

The third proportional to 15.14 and 22.01 is: 31.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.14 : 22.01 = 22.01 : x
  2. Step 2: Convert to fraction form
    15.14/22.01 = 22.01/x
  3. Step 3: Cross multiply
    15.14x = 22.01 × 22.01
  4. Step 4: Simplify right side
    15.14x = 484.34
  5. Step 5: Solve for x
    x = 484.34/15.14
  6. Step 6: Final answer
    x = 31.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.