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Finding the Third Proportional to 32,761.97 and 70,196.63

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Solution

The third proportional to 32,761.97 and 70,196.63 is: 150,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761.97 : 70,196.63 = 70,196.63 : x
  2. Step 2: Convert to fraction form
    32,761.97/70,196.63 = 70,196.63/x
  3. Step 3: Cross multiply
    32,761.97x = 70,196.63 × 70,196.63
  4. Step 4: Simplify right side
    32,761.97x = 4,927,566,161.39
  5. Step 5: Solve for x
    x = 4,927,566,161.39/32,761.97
  6. Step 6: Final answer
    x = 150,405.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.