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Finding the Third Proportional to 15.56 and 31.03

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Solution

The third proportional to 15.56 and 31.03 is: 61.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.56 : 31.03 = 31.03 : x
  2. Step 2: Convert to fraction form
    15.56/31.03 = 31.03/x
  3. Step 3: Cross multiply
    15.56x = 31.03 × 31.03
  4. Step 4: Simplify right side
    15.56x = 962.94
  5. Step 5: Solve for x
    x = 962.94/15.56
  6. Step 6: Final answer
    x = 61.88

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.