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Finding the Third Proportional to 29,762 and 45,027

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Solution

The third proportional to 29,762 and 45,027 is: 68,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762 : 45,027 = 45,027 : x
  2. Step 2: Convert to fraction form
    29,762/45,027 = 45,027/x
  3. Step 3: Cross multiply
    29,762x = 45,027 × 45,027
  4. Step 4: Simplify right side
    29,762x = 2,027,430,729
  5. Step 5: Solve for x
    x = 2,027,430,729/29,762
  6. Step 6: Final answer
    x = 68,121.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.