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Finding the Third Proportional to 5,861 and 10,423

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Solution

The third proportional to 5,861 and 10,423 is: 18,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861 : 10,423 = 10,423 : x
  2. Step 2: Convert to fraction form
    5,861/10,423 = 10,423/x
  3. Step 3: Cross multiply
    5,861x = 10,423 × 10,423
  4. Step 4: Simplify right side
    5,861x = 108,638,929
  5. Step 5: Solve for x
    x = 108,638,929/5,861
  6. Step 6: Final answer
    x = 18,535.90

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.