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Finding the Third Proportional to 18,505 and 39,654

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Solution

The third proportional to 18,505 and 39,654 is: 84,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505 : 39,654 = 39,654 : x
  2. Step 2: Convert to fraction form
    18,505/39,654 = 39,654/x
  3. Step 3: Cross multiply
    18,505x = 39,654 × 39,654
  4. Step 4: Simplify right side
    18,505x = 1,572,439,716
  5. Step 5: Solve for x
    x = 1,572,439,716/18,505
  6. Step 6: Final answer
    x = 84,973.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.