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Finding the Third Proportional to 22,081 and 47,319

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Solution

The third proportional to 22,081 and 47,319 is: 101,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,081 : 47,319 = 47,319 : x
  2. Step 2: Convert to fraction form
    22,081/47,319 = 47,319/x
  3. Step 3: Cross multiply
    22,081x = 47,319 × 47,319
  4. Step 4: Simplify right side
    22,081x = 2,239,087,761
  5. Step 5: Solve for x
    x = 2,239,087,761/22,081
  6. Step 6: Final answer
    x = 101,403.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.