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Finding the Third Proportional to 32.50 and 71.19

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Solution

The third proportional to 32.50 and 71.19 is: 155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.50 : 71.19 = 71.19 : x
  2. Step 2: Convert to fraction form
    32.50/71.19 = 71.19/x
  3. Step 3: Cross multiply
    32.50x = 71.19 × 71.19
  4. Step 4: Simplify right side
    32.50x = 5,067.66
  5. Step 5: Solve for x
    x = 5,067.66/32.50
  6. Step 6: Final answer
    x = 155.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.