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Finding the Third Proportional to 32.44 and 70.19

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Solution

The third proportional to 32.44 and 70.19 is: 151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.44 : 70.19 = 70.19 : x
  2. Step 2: Convert to fraction form
    32.44/70.19 = 70.19/x
  3. Step 3: Cross multiply
    32.44x = 70.19 × 70.19
  4. Step 4: Simplify right side
    32.44x = 4,926.29
  5. Step 5: Solve for x
    x = 4,926.29/32.44
  6. Step 6: Final answer
    x = 151.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.