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Finding the Third Proportional to 37,150.31 and 56,435.06

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Solution

The third proportional to 37,150.31 and 56,435.06 is: 85,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,150.31 : 56,435.06 = 56,435.06 : x
  2. Step 2: Convert to fraction form
    37,150.31/56,435.06 = 56,435.06/x
  3. Step 3: Cross multiply
    37,150.31x = 56,435.06 × 56,435.06
  4. Step 4: Simplify right side
    37,150.31x = 3,184,916,279.38
  5. Step 5: Solve for x
    x = 3,184,916,279.38/37,150.31
  6. Step 6: Final answer
    x = 85,730.54

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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.