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Finding the Third Proportional to 34,012.41 and 72,945.56

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Solution

The third proportional to 34,012.41 and 72,945.56 is: 156,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012.41 : 72,945.56 = 72,945.56 : x
  2. Step 2: Convert to fraction form
    34,012.41/72,945.56 = 72,945.56/x
  3. Step 3: Cross multiply
    34,012.41x = 72,945.56 × 72,945.56
  4. Step 4: Simplify right side
    34,012.41x = 5,321,055,088.44
  5. Step 5: Solve for x
    x = 5,321,055,088.44/34,012.41
  6. Step 6: Final answer
    x = 156,444.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.