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Finding the Third Proportional to 24,543 and 41,856.75

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Solution

The third proportional to 24,543 and 41,856.75 is: 71,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 41,856.75 = 41,856.75 : x
  2. Step 2: Convert to fraction form
    24,543/41,856.75 = 41,856.75/x
  3. Step 3: Cross multiply
    24,543x = 41,856.75 × 41,856.75
  4. Step 4: Simplify right side
    24,543x = 1,751,987,520.56
  5. Step 5: Solve for x
    x = 1,751,987,520.56/24,543
  6. Step 6: Final answer
    x = 71,384.41

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.