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Finding the Third Proportional to 32.37 and 70.80

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Solution

The third proportional to 32.37 and 70.80 is: 154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.37 : 70.80 = 70.80 : x
  2. Step 2: Convert to fraction form
    32.37/70.80 = 70.80/x
  3. Step 3: Cross multiply
    32.37x = 70.80 × 70.80
  4. Step 4: Simplify right side
    32.37x = 5,013.30
  5. Step 5: Solve for x
    x = 5,013.30/32.37
  6. Step 6: Final answer
    x = 154.89

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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.