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Finding the Third Proportional to 44,857 and 65,197.50

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Solution

The third proportional to 44,857 and 65,197.50 is: 94,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,857 : 65,197.50 = 65,197.50 : x
  2. Step 2: Convert to fraction form
    44,857/65,197.50 = 65,197.50/x
  3. Step 3: Cross multiply
    44,857x = 65,197.50 × 65,197.50
  4. Step 4: Simplify right side
    44,857x = 4,250,714,006.25
  5. Step 5: Solve for x
    x = 4,250,714,006.25/44,857
  6. Step 6: Final answer
    x = 94,761.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.