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Finding the Third Proportional to 46.69 and 53.44

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Solution

The third proportional to 46.69 and 53.44 is: 61.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 53.44 = 53.44 : x
  2. Step 2: Convert to fraction form
    46.69/53.44 = 53.44/x
  3. Step 3: Cross multiply
    46.69x = 53.44 × 53.44
  4. Step 4: Simplify right side
    46.69x = 2,855.57
  5. Step 5: Solve for x
    x = 2,855.57/46.69
  6. Step 6: Final answer
    x = 61.16

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.