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Finding the Third Proportional to 18,545 and 23,497

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Solution

The third proportional to 18,545 and 23,497 is: 29,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,545 : 23,497 = 23,497 : x
  2. Step 2: Convert to fraction form
    18,545/23,497 = 23,497/x
  3. Step 3: Cross multiply
    18,545x = 23,497 × 23,497
  4. Step 4: Simplify right side
    18,545x = 552,109,009
  5. Step 5: Solve for x
    x = 552,109,009/18,545
  6. Step 6: Final answer
    x = 29,771.31

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.