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Finding the Third Proportional to 29,084 and 35,492

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Solution

The third proportional to 29,084 and 35,492 is: 43,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,084 : 35,492 = 35,492 : x
  2. Step 2: Convert to fraction form
    29,084/35,492 = 35,492/x
  3. Step 3: Cross multiply
    29,084x = 35,492 × 35,492
  4. Step 4: Simplify right side
    29,084x = 1,259,682,064
  5. Step 5: Solve for x
    x = 1,259,682,064/29,084
  6. Step 6: Final answer
    x = 43,311.86

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.