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Finding the Third Proportional to 29,144 and 38,700

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Solution

The third proportional to 29,144 and 38,700 is: 51,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,144 : 38,700 = 38,700 : x
  2. Step 2: Convert to fraction form
    29,144/38,700 = 38,700/x
  3. Step 3: Cross multiply
    29,144x = 38,700 × 38,700
  4. Step 4: Simplify right side
    29,144x = 1,497,690,000
  5. Step 5: Solve for x
    x = 1,497,690,000/29,144
  6. Step 6: Final answer
    x = 51,389.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.