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Finding the Third Proportional to 22,069 and 47,989

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Solution

The third proportional to 22,069 and 47,989 is: 104,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,069 : 47,989 = 47,989 : x
  2. Step 2: Convert to fraction form
    22,069/47,989 = 47,989/x
  3. Step 3: Cross multiply
    22,069x = 47,989 × 47,989
  4. Step 4: Simplify right side
    22,069x = 2,302,944,121
  5. Step 5: Solve for x
    x = 2,302,944,121/22,069
  6. Step 6: Final answer
    x = 104,351.99

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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.