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Finding the Third Proportional to 17,310 and 22,665

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Solution

The third proportional to 17,310 and 22,665 is: 29,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310 : 22,665 = 22,665 : x
  2. Step 2: Convert to fraction form
    17,310/22,665 = 22,665/x
  3. Step 3: Cross multiply
    17,310x = 22,665 × 22,665
  4. Step 4: Simplify right side
    17,310x = 513,702,225
  5. Step 5: Solve for x
    x = 513,702,225/17,310
  6. Step 6: Final answer
    x = 29,676.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.