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Finding the Third Proportional to 38,371.50 and 78,644.81

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Solution

The third proportional to 38,371.50 and 78,644.81 is: 161,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,371.50 : 78,644.81 = 78,644.81 : x
  2. Step 2: Convert to fraction form
    38,371.50/78,644.81 = 78,644.81/x
  3. Step 3: Cross multiply
    38,371.50x = 78,644.81 × 78,644.81
  4. Step 4: Simplify right side
    38,371.50x = 6,185,006,533.16
  5. Step 5: Solve for x
    x = 6,185,006,533.16/38,371.50
  6. Step 6: Final answer
    x = 161,187.51

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.