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Finding the Third Proportional to 37,149.75 and 56,435.63

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Solution

The third proportional to 37,149.75 and 56,435.63 is: 85,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.75 : 56,435.63 = 56,435.63 : x
  2. Step 2: Convert to fraction form
    37,149.75/56,435.63 = 56,435.63/x
  3. Step 3: Cross multiply
    37,149.75x = 56,435.63 × 56,435.63
  4. Step 4: Simplify right side
    37,149.75x = 3,184,979,769.14
  5. Step 5: Solve for x
    x = 3,184,979,769.14/37,149.75
  6. Step 6: Final answer
    x = 85,733.55

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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.