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Finding the Third Proportional to 32,196.75 and 69,752.63

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Solution

The third proportional to 32,196.75 and 69,752.63 is: 151,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.75 : 69,752.63 = 69,752.63 : x
  2. Step 2: Convert to fraction form
    32,196.75/69,752.63 = 69,752.63/x
  3. Step 3: Cross multiply
    32,196.75x = 69,752.63 × 69,752.63
  4. Step 4: Simplify right side
    32,196.75x = 4,865,428,694.39
  5. Step 5: Solve for x
    x = 4,865,428,694.39/32,196.75
  6. Step 6: Final answer
    x = 151,115.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.