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Finding the Third Proportional to 32.51 and 70.73

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Solution

The third proportional to 32.51 and 70.73 is: 153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.51 : 70.73 = 70.73 : x
  2. Step 2: Convert to fraction form
    32.51/70.73 = 70.73/x
  3. Step 3: Cross multiply
    32.51x = 70.73 × 70.73
  4. Step 4: Simplify right side
    32.51x = 5,003.35
  5. Step 5: Solve for x
    x = 5,003.35/32.51
  6. Step 6: Final answer
    x = 153.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.