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Finding the Third Proportional to 46.30 and 54.74

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Solution

The third proportional to 46.30 and 54.74 is: 64.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.30 : 54.74 = 54.74 : x
  2. Step 2: Convert to fraction form
    46.30/54.74 = 54.74/x
  3. Step 3: Cross multiply
    46.30x = 54.74 × 54.74
  4. Step 4: Simplify right side
    46.30x = 2,996.28
  5. Step 5: Solve for x
    x = 2,996.28/46.30
  6. Step 6: Final answer
    x = 64.71

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.