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Finding the Third Proportional to 19,644 and 41,704

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Solution

The third proportional to 19,644 and 41,704 is: 88,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644 : 41,704 = 41,704 : x
  2. Step 2: Convert to fraction form
    19,644/41,704 = 41,704/x
  3. Step 3: Cross multiply
    19,644x = 41,704 × 41,704
  4. Step 4: Simplify right side
    19,644x = 1,739,223,616
  5. Step 5: Solve for x
    x = 1,739,223,616/19,644
  6. Step 6: Final answer
    x = 88,537.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.