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Finding the Third Proportional to 56.06 and 79.41

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Solution

The third proportional to 56.06 and 79.41 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 79.41 = 79.41 : x
  2. Step 2: Convert to fraction form
    56.06/79.41 = 79.41/x
  3. Step 3: Cross multiply
    56.06x = 79.41 × 79.41
  4. Step 4: Simplify right side
    56.06x = 6,305.35
  5. Step 5: Solve for x
    x = 6,305.35/56.06
  6. Step 6: Final answer
    x = 112.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.