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Finding the Third Proportional to 29,269 and 32,345

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Solution

The third proportional to 29,269 and 32,345 is: 35,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,269 : 32,345 = 32,345 : x
  2. Step 2: Convert to fraction form
    29,269/32,345 = 32,345/x
  3. Step 3: Cross multiply
    29,269x = 32,345 × 32,345
  4. Step 4: Simplify right side
    29,269x = 1,046,199,025
  5. Step 5: Solve for x
    x = 1,046,199,025/29,269
  6. Step 6: Final answer
    x = 35,744.27

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.