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Finding the Third Proportional to 22,686 and 34,497

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Solution

The third proportional to 22,686 and 34,497 is: 52,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686 : 34,497 = 34,497 : x
  2. Step 2: Convert to fraction form
    22,686/34,497 = 34,497/x
  3. Step 3: Cross multiply
    22,686x = 34,497 × 34,497
  4. Step 4: Simplify right side
    22,686x = 1,190,043,009
  5. Step 5: Solve for x
    x = 1,190,043,009/22,686
  6. Step 6: Final answer
    x = 52,457.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.