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Finding the Third Proportional to 35,454.38 and 72,731.25

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Solution

The third proportional to 35,454.38 and 72,731.25 is: 149,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,454.38 : 72,731.25 = 72,731.25 : x
  2. Step 2: Convert to fraction form
    35,454.38/72,731.25 = 72,731.25/x
  3. Step 3: Cross multiply
    35,454.38x = 72,731.25 × 72,731.25
  4. Step 4: Simplify right side
    35,454.38x = 5,289,834,726.56
  5. Step 5: Solve for x
    x = 5,289,834,726.56/35,454.38
  6. Step 6: Final answer
    x = 149,201.18

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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.