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Finding the Third Proportional to 15,819 and 23,685

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Solution

The third proportional to 15,819 and 23,685 is: 35,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819 : 23,685 = 23,685 : x
  2. Step 2: Convert to fraction form
    15,819/23,685 = 23,685/x
  3. Step 3: Cross multiply
    15,819x = 23,685 × 23,685
  4. Step 4: Simplify right side
    15,819x = 560,979,225
  5. Step 5: Solve for x
    x = 560,979,225/15,819
  6. Step 6: Final answer
    x = 35,462.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.