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Finding the Third Proportional to 30,027 and 47,103

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Solution

The third proportional to 30,027 and 47,103 is: 73,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,027 : 47,103 = 47,103 : x
  2. Step 2: Convert to fraction form
    30,027/47,103 = 47,103/x
  3. Step 3: Cross multiply
    30,027x = 47,103 × 47,103
  4. Step 4: Simplify right side
    30,027x = 2,218,692,609
  5. Step 5: Solve for x
    x = 2,218,692,609/30,027
  6. Step 6: Final answer
    x = 73,889.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.