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Finding the Third Proportional to 30,058 and 47,150

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Solution

The third proportional to 30,058 and 47,150 is: 73,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,058 : 47,150 = 47,150 : x
  2. Step 2: Convert to fraction form
    30,058/47,150 = 47,150/x
  3. Step 3: Cross multiply
    30,058x = 47,150 × 47,150
  4. Step 4: Simplify right side
    30,058x = 2,223,122,500
  5. Step 5: Solve for x
    x = 2,223,122,500/30,058
  6. Step 6: Final answer
    x = 73,961.09

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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.