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Finding the Third Proportional to 21,585 and 33,132

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Solution

The third proportional to 21,585 and 33,132 is: 50,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585 : 33,132 = 33,132 : x
  2. Step 2: Convert to fraction form
    21,585/33,132 = 33,132/x
  3. Step 3: Cross multiply
    21,585x = 33,132 × 33,132
  4. Step 4: Simplify right side
    21,585x = 1,097,729,424
  5. Step 5: Solve for x
    x = 1,097,729,424/21,585
  6. Step 6: Final answer
    x = 50,856.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.