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Finding the Third Proportional to 22,130 and 47,950

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Solution

The third proportional to 22,130 and 47,950 is: 103,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130 : 47,950 = 47,950 : x
  2. Step 2: Convert to fraction form
    22,130/47,950 = 47,950/x
  3. Step 3: Cross multiply
    22,130x = 47,950 × 47,950
  4. Step 4: Simplify right side
    22,130x = 2,299,202,500
  5. Step 5: Solve for x
    x = 2,299,202,500/22,130
  6. Step 6: Final answer
    x = 103,895.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.