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Finding the Third Proportional to 46.59 and 69.66

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Solution

The third proportional to 46.59 and 69.66 is: 104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.59 : 69.66 = 69.66 : x
  2. Step 2: Convert to fraction form
    46.59/69.66 = 69.66/x
  3. Step 3: Cross multiply
    46.59x = 69.66 × 69.66
  4. Step 4: Simplify right side
    46.59x = 4,851.99
  5. Step 5: Solve for x
    x = 4,851.99/46.59
  6. Step 6: Final answer
    x = 104.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.