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Finding the Third Proportional to 15.73 and 32.45

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Solution

The third proportional to 15.73 and 32.45 is: 66.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.73 : 32.45 = 32.45 : x
  2. Step 2: Convert to fraction form
    15.73/32.45 = 32.45/x
  3. Step 3: Cross multiply
    15.73x = 32.45 × 32.45
  4. Step 4: Simplify right side
    15.73x = 1,052.95
  5. Step 5: Solve for x
    x = 1,052.95/15.73
  6. Step 6: Final answer
    x = 66.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.