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Finding the Third Proportional to 43,761 and 48,272.50

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Solution

The third proportional to 43,761 and 48,272.50 is: 53,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,761 : 48,272.50 = 48,272.50 : x
  2. Step 2: Convert to fraction form
    43,761/48,272.50 = 48,272.50/x
  3. Step 3: Cross multiply
    43,761x = 48,272.50 × 48,272.50
  4. Step 4: Simplify right side
    43,761x = 2,330,234,256.25
  5. Step 5: Solve for x
    x = 2,330,234,256.25/43,761
  6. Step 6: Final answer
    x = 53,249.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.