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Finding the Third Proportional to 41.45 and 79.42

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Solution

The third proportional to 41.45 and 79.42 is: 152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.45 : 79.42 = 79.42 : x
  2. Step 2: Convert to fraction form
    41.45/79.42 = 79.42/x
  3. Step 3: Cross multiply
    41.45x = 79.42 × 79.42
  4. Step 4: Simplify right side
    41.45x = 6,307.21
  5. Step 5: Solve for x
    x = 6,307.21/41.45
  6. Step 6: Final answer
    x = 152.17

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.