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Finding the Third Proportional to 37,509.56 and 88,544.06

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Solution

The third proportional to 37,509.56 and 88,544.06 is: 209,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509.56 : 88,544.06 = 88,544.06 : x
  2. Step 2: Convert to fraction form
    37,509.56/88,544.06 = 88,544.06/x
  3. Step 3: Cross multiply
    37,509.56x = 88,544.06 × 88,544.06
  4. Step 4: Simplify right side
    37,509.56x = 7,840,051,004.00
  5. Step 5: Solve for x
    x = 7,840,051,004.00/37,509.56
  6. Step 6: Final answer
    x = 209,014.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.