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Finding the Third Proportional to 21,381 and 32,170.50

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Solution

The third proportional to 21,381 and 32,170.50 is: 48,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381 : 32,170.50 = 32,170.50 : x
  2. Step 2: Convert to fraction form
    21,381/32,170.50 = 32,170.50/x
  3. Step 3: Cross multiply
    21,381x = 32,170.50 × 32,170.50
  4. Step 4: Simplify right side
    21,381x = 1,034,941,070.25
  5. Step 5: Solve for x
    x = 1,034,941,070.25/21,381
  6. Step 6: Final answer
    x = 48,404.71

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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.