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Finding the Third Proportional to 15,852 and 22,299

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Solution

The third proportional to 15,852 and 22,299 is: 31,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852 : 22,299 = 22,299 : x
  2. Step 2: Convert to fraction form
    15,852/22,299 = 22,299/x
  3. Step 3: Cross multiply
    15,852x = 22,299 × 22,299
  4. Step 4: Simplify right side
    15,852x = 497,245,401
  5. Step 5: Solve for x
    x = 497,245,401/15,852
  6. Step 6: Final answer
    x = 31,367.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.