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Finding the Third Proportional to 20,542 and 32,653

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Solution

The third proportional to 20,542 and 32,653 is: 51,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542 : 32,653 = 32,653 : x
  2. Step 2: Convert to fraction form
    20,542/32,653 = 32,653/x
  3. Step 3: Cross multiply
    20,542x = 32,653 × 32,653
  4. Step 4: Simplify right side
    20,542x = 1,066,218,409
  5. Step 5: Solve for x
    x = 1,066,218,409/20,542
  6. Step 6: Final answer
    x = 51,904.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.