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Finding the Third Proportional to 46.41 and 60.28

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Solution

The third proportional to 46.41 and 60.28 is: 78.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.41 : 60.28 = 60.28 : x
  2. Step 2: Convert to fraction form
    46.41/60.28 = 60.28/x
  3. Step 3: Cross multiply
    46.41x = 60.28 × 60.28
  4. Step 4: Simplify right side
    46.41x = 3,633.83
  5. Step 5: Solve for x
    x = 3,633.83/46.41
  6. Step 6: Final answer
    x = 78.30

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.