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Finding the Third Proportional to 33,688.41 and 72,983.53

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Solution

The third proportional to 33,688.41 and 72,983.53 is: 158,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,688.41 : 72,983.53 = 72,983.53 : x
  2. Step 2: Convert to fraction form
    33,688.41/72,983.53 = 72,983.53/x
  3. Step 3: Cross multiply
    33,688.41x = 72,983.53 × 72,983.53
  4. Step 4: Simplify right side
    33,688.41x = 5,326,595,833.72
  5. Step 5: Solve for x
    x = 5,326,595,833.72/33,688.41
  6. Step 6: Final answer
    x = 158,113.62

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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.