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Finding the Third Proportional to 37,027.13 and 78,975

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Solution

The third proportional to 37,027.13 and 78,975 is: 168,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027.13 : 78,975 = 78,975 : x
  2. Step 2: Convert to fraction form
    37,027.13/78,975 = 78,975/x
  3. Step 3: Cross multiply
    37,027.13x = 78,975 × 78,975
  4. Step 4: Simplify right side
    37,027.13x = 6,237,050,625
  5. Step 5: Solve for x
    x = 6,237,050,625/37,027.13
  6. Step 6: Final answer
    x = 168,445.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.