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Finding the Third Proportional to 46.13 and 51.33

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Solution

The third proportional to 46.13 and 51.33 is: 57.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.13 : 51.33 = 51.33 : x
  2. Step 2: Convert to fraction form
    46.13/51.33 = 51.33/x
  3. Step 3: Cross multiply
    46.13x = 51.33 × 51.33
  4. Step 4: Simplify right side
    46.13x = 2,634.58
  5. Step 5: Solve for x
    x = 2,634.58/46.13
  6. Step 6: Final answer
    x = 57.12

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.