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Finding the Third Proportional to 22,830 and 34,299

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Solution

The third proportional to 22,830 and 34,299 is: 51,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830 : 34,299 = 34,299 : x
  2. Step 2: Convert to fraction form
    22,830/34,299 = 34,299/x
  3. Step 3: Cross multiply
    22,830x = 34,299 × 34,299
  4. Step 4: Simplify right side
    22,830x = 1,176,421,401
  5. Step 5: Solve for x
    x = 1,176,421,401/22,830
  6. Step 6: Final answer
    x = 51,529.63

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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.