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Finding the Third Proportional to 15,894 and 25,162

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Solution

The third proportional to 15,894 and 25,162 is: 39,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 25,162 = 25,162 : x
  2. Step 2: Convert to fraction form
    15,894/25,162 = 25,162/x
  3. Step 3: Cross multiply
    15,894x = 25,162 × 25,162
  4. Step 4: Simplify right side
    15,894x = 633,126,244
  5. Step 5: Solve for x
    x = 633,126,244/15,894
  6. Step 6: Final answer
    x = 39,834.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.