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Finding the Third Proportional to 15.54 and 31.50

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Solution

The third proportional to 15.54 and 31.50 is: 63.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.54 : 31.50 = 31.50 : x
  2. Step 2: Convert to fraction form
    15.54/31.50 = 31.50/x
  3. Step 3: Cross multiply
    15.54x = 31.50 × 31.50
  4. Step 4: Simplify right side
    15.54x = 992.25
  5. Step 5: Solve for x
    x = 992.25/15.54
  6. Step 6: Final answer
    x = 63.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.