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Finding the Third Proportional to 37,183.09 and 56,646.03

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Solution

The third proportional to 37,183.09 and 56,646.03 is: 86,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,183.09 : 56,646.03 = 56,646.03 : x
  2. Step 2: Convert to fraction form
    37,183.09/56,646.03 = 56,646.03/x
  3. Step 3: Cross multiply
    37,183.09x = 56,646.03 × 56,646.03
  4. Step 4: Simplify right side
    37,183.09x = 3,208,772,856.38
  5. Step 5: Solve for x
    x = 3,208,772,856.38/37,183.09
  6. Step 6: Final answer
    x = 86,296.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.