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Finding the Third Proportional to 32,080.50 and 66,193.88

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Solution

The third proportional to 32,080.50 and 66,193.88 is: 136,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.50 : 66,193.88 = 66,193.88 : x
  2. Step 2: Convert to fraction form
    32,080.50/66,193.88 = 66,193.88/x
  3. Step 3: Cross multiply
    32,080.50x = 66,193.88 × 66,193.88
  4. Step 4: Simplify right side
    32,080.50x = 4,381,629,087.52
  5. Step 5: Solve for x
    x = 4,381,629,087.52/32,080.50
  6. Step 6: Final answer
    x = 136,582.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.