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Finding the Third Proportional to 21,893 and 32,061

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Solution

The third proportional to 21,893 and 32,061 is: 46,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893 : 32,061 = 32,061 : x
  2. Step 2: Convert to fraction form
    21,893/32,061 = 32,061/x
  3. Step 3: Cross multiply
    21,893x = 32,061 × 32,061
  4. Step 4: Simplify right side
    21,893x = 1,027,907,721
  5. Step 5: Solve for x
    x = 1,027,907,721/21,893
  6. Step 6: Final answer
    x = 46,951.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.