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Finding the Third Proportional to 15.72 and 30.83

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Solution

The third proportional to 15.72 and 30.83 is: 60.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.72 : 30.83 = 30.83 : x
  2. Step 2: Convert to fraction form
    15.72/30.83 = 30.83/x
  3. Step 3: Cross multiply
    15.72x = 30.83 × 30.83
  4. Step 4: Simplify right side
    15.72x = 950.37
  5. Step 5: Solve for x
    x = 950.37/15.72
  6. Step 6: Final answer
    x = 60.46

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.