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Finding the Third Proportional to 32,405.06 and 67,042.69

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Solution

The third proportional to 32,405.06 and 67,042.69 is: 138,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.06 : 67,042.69 = 67,042.69 : x
  2. Step 2: Convert to fraction form
    32,405.06/67,042.69 = 67,042.69/x
  3. Step 3: Cross multiply
    32,405.06x = 67,042.69 × 67,042.69
  4. Step 4: Simplify right side
    32,405.06x = 4,494,721,947.22
  5. Step 5: Solve for x
    x = 4,494,721,947.22/32,405.06
  6. Step 6: Final answer
    x = 138,704.31

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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.