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Finding the Third Proportional to 32,965.88 and 71,065.13

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Solution

The third proportional to 32,965.88 and 71,065.13 is: 153,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.88 : 71,065.13 = 71,065.13 : x
  2. Step 2: Convert to fraction form
    32,965.88/71,065.13 = 71,065.13/x
  3. Step 3: Cross multiply
    32,965.88x = 71,065.13 × 71,065.13
  4. Step 4: Simplify right side
    32,965.88x = 5,050,251,991.27
  5. Step 5: Solve for x
    x = 5,050,251,991.27/32,965.88
  6. Step 6: Final answer
    x = 153,196.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.