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Finding the Third Proportional to 20,545 and 42,061

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Solution

The third proportional to 20,545 and 42,061 is: 86,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545 : 42,061 = 42,061 : x
  2. Step 2: Convert to fraction form
    20,545/42,061 = 42,061/x
  3. Step 3: Cross multiply
    20,545x = 42,061 × 42,061
  4. Step 4: Simplify right side
    20,545x = 1,769,127,721
  5. Step 5: Solve for x
    x = 1,769,127,721/20,545
  6. Step 6: Final answer
    x = 86,109.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.