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Finding the Third Proportional to 21,032 and 45,934

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Solution

The third proportional to 21,032 and 45,934 is: 100,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032 : 45,934 = 45,934 : x
  2. Step 2: Convert to fraction form
    21,032/45,934 = 45,934/x
  3. Step 3: Cross multiply
    21,032x = 45,934 × 45,934
  4. Step 4: Simplify right side
    21,032x = 2,109,932,356
  5. Step 5: Solve for x
    x = 2,109,932,356/21,032
  6. Step 6: Final answer
    x = 100,320.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.