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Finding the Third Proportional to 24,445.50 and 50,727

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Solution

The third proportional to 24,445.50 and 50,727 is: 105,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,445.50 : 50,727 = 50,727 : x
  2. Step 2: Convert to fraction form
    24,445.50/50,727 = 50,727/x
  3. Step 3: Cross multiply
    24,445.50x = 50,727 × 50,727
  4. Step 4: Simplify right side
    24,445.50x = 2,573,228,529
  5. Step 5: Solve for x
    x = 2,573,228,529/24,445.50
  6. Step 6: Final answer
    x = 105,263.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.