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Finding the Third Proportional to 15,584 and 23,834

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Solution

The third proportional to 15,584 and 23,834 is: 36,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584 : 23,834 = 23,834 : x
  2. Step 2: Convert to fraction form
    15,584/23,834 = 23,834/x
  3. Step 3: Cross multiply
    15,584x = 23,834 × 23,834
  4. Step 4: Simplify right side
    15,584x = 568,059,556
  5. Step 5: Solve for x
    x = 568,059,556/15,584
  6. Step 6: Final answer
    x = 36,451.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.