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Finding the Third Proportional to 21,559 and 32,366

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Solution

The third proportional to 21,559 and 32,366 is: 48,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,559 : 32,366 = 32,366 : x
  2. Step 2: Convert to fraction form
    21,559/32,366 = 32,366/x
  3. Step 3: Cross multiply
    21,559x = 32,366 × 32,366
  4. Step 4: Simplify right side
    21,559x = 1,047,557,956
  5. Step 5: Solve for x
    x = 1,047,557,956/21,559
  6. Step 6: Final answer
    x = 48,590.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.