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Finding the Third Proportional to 32,983.88 and 72,016.17

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Solution

The third proportional to 32,983.88 and 72,016.17 is: 157,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.88 : 72,016.17 = 72,016.17 : x
  2. Step 2: Convert to fraction form
    32,983.88/72,016.17 = 72,016.17/x
  3. Step 3: Cross multiply
    32,983.88x = 72,016.17 × 72,016.17
  4. Step 4: Simplify right side
    32,983.88x = 5,186,329,011.53
  5. Step 5: Solve for x
    x = 5,186,329,011.53/32,983.88
  6. Step 6: Final answer
    x = 157,238.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.