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Finding the Third Proportional to 60,830.44 and 81,369.56

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Solution

The third proportional to 60,830.44 and 81,369.56 is: 108,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,830.44 : 81,369.56 = 81,369.56 : x
  2. Step 2: Convert to fraction form
    60,830.44/81,369.56 = 81,369.56/x
  3. Step 3: Cross multiply
    60,830.44x = 81,369.56 × 81,369.56
  4. Step 4: Simplify right side
    60,830.44x = 6,621,005,701.44
  5. Step 5: Solve for x
    x = 6,621,005,701.44/60,830.44
  6. Step 6: Final answer
    x = 108,843.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.