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Finding the Third Proportional to 29,499.75 and 45,125.44

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Solution

The third proportional to 29,499.75 and 45,125.44 is: 69,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,499.75 : 45,125.44 = 45,125.44 : x
  2. Step 2: Convert to fraction form
    29,499.75/45,125.44 = 45,125.44/x
  3. Step 3: Cross multiply
    29,499.75x = 45,125.44 × 45,125.44
  4. Step 4: Simplify right side
    29,499.75x = 2,036,305,109.57
  5. Step 5: Solve for x
    x = 2,036,305,109.57/29,499.75
  6. Step 6: Final answer
    x = 69,027.88

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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.