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Finding the Third Proportional to 34.03 and 49.92

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Solution

The third proportional to 34.03 and 49.92 is: 73.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.03 : 49.92 = 49.92 : x
  2. Step 2: Convert to fraction form
    34.03/49.92 = 49.92/x
  3. Step 3: Cross multiply
    34.03x = 49.92 × 49.92
  4. Step 4: Simplify right side
    34.03x = 2,492.19
  5. Step 5: Solve for x
    x = 2,492.19/34.03
  6. Step 6: Final answer
    x = 73.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.