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Finding the Third Proportional to 23,037 and 34,717

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Solution

The third proportional to 23,037 and 34,717 is: 52,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037 : 34,717 = 34,717 : x
  2. Step 2: Convert to fraction form
    23,037/34,717 = 34,717/x
  3. Step 3: Cross multiply
    23,037x = 34,717 × 34,717
  4. Step 4: Simplify right side
    23,037x = 1,205,270,089
  5. Step 5: Solve for x
    x = 1,205,270,089/23,037
  6. Step 6: Final answer
    x = 52,318.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.