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Finding the Third Proportional to 48,253.32 and 69,611.85

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Solution

The third proportional to 48,253.32 and 69,611.85 is: 100,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,253.32 : 69,611.85 = 69,611.85 : x
  2. Step 2: Convert to fraction form
    48,253.32/69,611.85 = 69,611.85/x
  3. Step 3: Cross multiply
    48,253.32x = 69,611.85 × 69,611.85
  4. Step 4: Simplify right side
    48,253.32x = 4,845,810,149.88
  5. Step 5: Solve for x
    x = 4,845,810,149.88/48,253.32
  6. Step 6: Final answer
    x = 100,424.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.