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Finding the Third Proportional to 35.06 and 52.69

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Solution

The third proportional to 35.06 and 52.69 is: 79.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.06 : 52.69 = 52.69 : x
  2. Step 2: Convert to fraction form
    35.06/52.69 = 52.69/x
  3. Step 3: Cross multiply
    35.06x = 52.69 × 52.69
  4. Step 4: Simplify right side
    35.06x = 2,775.97
  5. Step 5: Solve for x
    x = 2,775.97/35.06
  6. Step 6: Final answer
    x = 79.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.