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Finding the Third Proportional to 32,182.31 and 66,600.98

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Solution

The third proportional to 32,182.31 and 66,600.98 is: 137,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.31 : 66,600.98 = 66,600.98 : x
  2. Step 2: Convert to fraction form
    32,182.31/66,600.98 = 66,600.98/x
  3. Step 3: Cross multiply
    32,182.31x = 66,600.98 × 66,600.98
  4. Step 4: Simplify right side
    32,182.31x = 4,435,691,119.72
  5. Step 5: Solve for x
    x = 4,435,691,119.72/32,182.31
  6. Step 6: Final answer
    x = 137,830.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.