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Finding the Third Proportional to 37,269 and 57,201.50

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Solution

The third proportional to 37,269 and 57,201.50 is: 87,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,269 : 57,201.50 = 57,201.50 : x
  2. Step 2: Convert to fraction form
    37,269/57,201.50 = 57,201.50/x
  3. Step 3: Cross multiply
    37,269x = 57,201.50 × 57,201.50
  4. Step 4: Simplify right side
    37,269x = 3,272,011,602.25
  5. Step 5: Solve for x
    x = 3,272,011,602.25/37,269
  6. Step 6: Final answer
    x = 87,794.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.