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Finding the Third Proportional to 22,742 and 35,085

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Solution

The third proportional to 22,742 and 35,085 is: 54,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742 : 35,085 = 35,085 : x
  2. Step 2: Convert to fraction form
    22,742/35,085 = 35,085/x
  3. Step 3: Cross multiply
    22,742x = 35,085 × 35,085
  4. Step 4: Simplify right side
    22,742x = 1,230,957,225
  5. Step 5: Solve for x
    x = 1,230,957,225/22,742
  6. Step 6: Final answer
    x = 54,127.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.