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Finding the Third Proportional to 37,442.75 and 56,181.75

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Solution

The third proportional to 37,442.75 and 56,181.75 is: 84,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,442.75 : 56,181.75 = 56,181.75 : x
  2. Step 2: Convert to fraction form
    37,442.75/56,181.75 = 56,181.75/x
  3. Step 3: Cross multiply
    37,442.75x = 56,181.75 × 56,181.75
  4. Step 4: Simplify right side
    37,442.75x = 3,156,389,033.06
  5. Step 5: Solve for x
    x = 3,156,389,033.06/37,442.75
  6. Step 6: Final answer
    x = 84,299.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.