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Finding the Third Proportional to 46.69 and 65.39

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Solution

The third proportional to 46.69 and 65.39 is: 91.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 65.39 = 65.39 : x
  2. Step 2: Convert to fraction form
    46.69/65.39 = 65.39/x
  3. Step 3: Cross multiply
    46.69x = 65.39 × 65.39
  4. Step 4: Simplify right side
    46.69x = 4,275.93
  5. Step 5: Solve for x
    x = 4,275.93/46.69
  6. Step 6: Final answer
    x = 91.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.