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Finding the Third Proportional to 7.31 and 16.01

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Solution

The third proportional to 7.31 and 16.01 is: 35.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.31 : 16.01 = 16.01 : x
  2. Step 2: Convert to fraction form
    7.31/16.01 = 16.01/x
  3. Step 3: Cross multiply
    7.31x = 16.01 × 16.01
  4. Step 4: Simplify right side
    7.31x = 256.25
  5. Step 5: Solve for x
    x = 256.25/7.31
  6. Step 6: Final answer
    x = 35.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.