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Finding the Third Proportional to 32.13 and 79.17

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Solution

The third proportional to 32.13 and 79.17 is: 195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.13 : 79.17 = 79.17 : x
  2. Step 2: Convert to fraction form
    32.13/79.17 = 79.17/x
  3. Step 3: Cross multiply
    32.13x = 79.17 × 79.17
  4. Step 4: Simplify right side
    32.13x = 6,268.19
  5. Step 5: Solve for x
    x = 6,268.19/32.13
  6. Step 6: Final answer
    x = 195.07

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.