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Finding the Third Proportional to 22,861 and 36,511

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Solution

The third proportional to 22,861 and 36,511 is: 58,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861 : 36,511 = 36,511 : x
  2. Step 2: Convert to fraction form
    22,861/36,511 = 36,511/x
  3. Step 3: Cross multiply
    22,861x = 36,511 × 36,511
  4. Step 4: Simplify right side
    22,861x = 1,333,053,121
  5. Step 5: Solve for x
    x = 1,333,053,121/22,861
  6. Step 6: Final answer
    x = 58,311.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.