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Finding the Third Proportional to 16.31 and 35.72

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Solution

The third proportional to 16.31 and 35.72 is: 78.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.31 : 35.72 = 35.72 : x
  2. Step 2: Convert to fraction form
    16.31/35.72 = 35.72/x
  3. Step 3: Cross multiply
    16.31x = 35.72 × 35.72
  4. Step 4: Simplify right side
    16.31x = 1,275.83
  5. Step 5: Solve for x
    x = 1,275.83/16.31
  6. Step 6: Final answer
    x = 78.21

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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.