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Finding the Third Proportional to 29,504 and 32,384

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Solution

The third proportional to 29,504 and 32,384 is: 35,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,504 : 32,384 = 32,384 : x
  2. Step 2: Convert to fraction form
    29,504/32,384 = 32,384/x
  3. Step 3: Cross multiply
    29,504x = 32,384 × 32,384
  4. Step 4: Simplify right side
    29,504x = 1,048,723,456
  5. Step 5: Solve for x
    x = 1,048,723,456/29,504
  6. Step 6: Final answer
    x = 35,545.13

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.