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Finding the Third Proportional to 25,150.31 and 37,728.56

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Solution

The third proportional to 25,150.31 and 37,728.56 is: 56,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150.31 : 37,728.56 = 37,728.56 : x
  2. Step 2: Convert to fraction form
    25,150.31/37,728.56 = 37,728.56/x
  3. Step 3: Cross multiply
    25,150.31x = 37,728.56 × 37,728.56
  4. Step 4: Simplify right side
    25,150.31x = 1,423,444,428.32
  5. Step 5: Solve for x
    x = 1,423,444,428.32/25,150.31
  6. Step 6: Final answer
    x = 56,597.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.