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Finding the Third Proportional to 30,211.31 and 55,432.69

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Solution

The third proportional to 30,211.31 and 55,432.69 is: 101,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.31 : 55,432.69 = 55,432.69 : x
  2. Step 2: Convert to fraction form
    30,211.31/55,432.69 = 55,432.69/x
  3. Step 3: Cross multiply
    30,211.31x = 55,432.69 × 55,432.69
  4. Step 4: Simplify right side
    30,211.31x = 3,072,782,843.47
  5. Step 5: Solve for x
    x = 3,072,782,843.47/30,211.31
  6. Step 6: Final answer
    x = 101,709.68

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.