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Finding the Third Proportional to 21,861 and 32,872.50

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Solution

The third proportional to 21,861 and 32,872.50 is: 49,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,861 : 32,872.50 = 32,872.50 : x
  2. Step 2: Convert to fraction form
    21,861/32,872.50 = 32,872.50/x
  3. Step 3: Cross multiply
    21,861x = 32,872.50 × 32,872.50
  4. Step 4: Simplify right side
    21,861x = 1,080,601,256.25
  5. Step 5: Solve for x
    x = 1,080,601,256.25/21,861
  6. Step 6: Final answer
    x = 49,430.55

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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.