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Finding the Third Proportional to 48,843 and 82,579.50

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Solution

The third proportional to 48,843 and 82,579.50 is: 139,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,843 : 82,579.50 = 82,579.50 : x
  2. Step 2: Convert to fraction form
    48,843/82,579.50 = 82,579.50/x
  3. Step 3: Cross multiply
    48,843x = 82,579.50 × 82,579.50
  4. Step 4: Simplify right side
    48,843x = 6,819,373,820.25
  5. Step 5: Solve for x
    x = 6,819,373,820.25/48,843
  6. Step 6: Final answer
    x = 139,618.24

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.