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Finding the Third Proportional to 30,601.31 and 55,436.06

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Solution

The third proportional to 30,601.31 and 55,436.06 is: 100,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.31 : 55,436.06 = 55,436.06 : x
  2. Step 2: Convert to fraction form
    30,601.31/55,436.06 = 55,436.06/x
  3. Step 3: Cross multiply
    30,601.31x = 55,436.06 × 55,436.06
  4. Step 4: Simplify right side
    30,601.31x = 3,073,157,025.50
  5. Step 5: Solve for x
    x = 3,073,157,025.50/30,601.31
  6. Step 6: Final answer
    x = 100,425.66

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.