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Finding the Third Proportional to 33,463.13 and 72,932.91

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Solution

The third proportional to 33,463.13 and 72,932.91 is: 158,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,463.13 : 72,932.91 = 72,932.91 : x
  2. Step 2: Convert to fraction form
    33,463.13/72,932.91 = 72,932.91/x
  3. Step 3: Cross multiply
    33,463.13x = 72,932.91 × 72,932.91
  4. Step 4: Simplify right side
    33,463.13x = 5,319,208,814.07
  5. Step 5: Solve for x
    x = 5,319,208,814.07/33,463.13
  6. Step 6: Final answer
    x = 158,957.32

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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.