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Finding the Third Proportional to 16,710 and 22,299

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Solution

The third proportional to 16,710 and 22,299 is: 29,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710 : 22,299 = 22,299 : x
  2. Step 2: Convert to fraction form
    16,710/22,299 = 22,299/x
  3. Step 3: Cross multiply
    16,710x = 22,299 × 22,299
  4. Step 4: Simplify right side
    16,710x = 497,245,401
  5. Step 5: Solve for x
    x = 497,245,401/16,710
  6. Step 6: Final answer
    x = 29,757.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.