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Finding the Third Proportional to 33,335.72 and 72,898.31

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Solution

The third proportional to 33,335.72 and 72,898.31 is: 159,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,335.72 : 72,898.31 = 72,898.31 : x
  2. Step 2: Convert to fraction form
    33,335.72/72,898.31 = 72,898.31/x
  3. Step 3: Cross multiply
    33,335.72x = 72,898.31 × 72,898.31
  4. Step 4: Simplify right side
    33,335.72x = 5,314,163,965.35
  5. Step 5: Solve for x
    x = 5,314,163,965.35/33,335.72
  6. Step 6: Final answer
    x = 159,413.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.