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Finding the Third Proportional to 34.57 and 49.00

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Solution

The third proportional to 34.57 and 49.00 is: 69.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.57 : 49.00 = 49.00 : x
  2. Step 2: Convert to fraction form
    34.57/49.00 = 49.00/x
  3. Step 3: Cross multiply
    34.57x = 49.00 × 49.00
  4. Step 4: Simplify right side
    34.57x = 2,401.33
  5. Step 5: Solve for x
    x = 2,401.33/34.57
  6. Step 6: Final answer
    x = 69.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.