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Finding the Third Proportional to 37,428.75 and 53,806.88

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Solution

The third proportional to 37,428.75 and 53,806.88 is: 77,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,428.75 : 53,806.88 = 53,806.88 : x
  2. Step 2: Convert to fraction form
    37,428.75/53,806.88 = 53,806.88/x
  3. Step 3: Cross multiply
    37,428.75x = 53,806.88 × 53,806.88
  4. Step 4: Simplify right side
    37,428.75x = 2,895,179,797.27
  5. Step 5: Solve for x
    x = 2,895,179,797.27/37,428.75
  6. Step 6: Final answer
    x = 77,351.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.