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Finding the Third Proportional to 32.60 and 70.86

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Solution

The third proportional to 32.60 and 70.86 is: 154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.60 : 70.86 = 70.86 : x
  2. Step 2: Convert to fraction form
    32.60/70.86 = 70.86/x
  3. Step 3: Cross multiply
    32.60x = 70.86 × 70.86
  4. Step 4: Simplify right side
    32.60x = 5,021.05
  5. Step 5: Solve for x
    x = 5,021.05/32.60
  6. Step 6: Final answer
    x = 154.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.