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Finding the Third Proportional to 22,246 and 47,407

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Solution

The third proportional to 22,246 and 47,407 is: 101,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,246 : 47,407 = 47,407 : x
  2. Step 2: Convert to fraction form
    22,246/47,407 = 47,407/x
  3. Step 3: Cross multiply
    22,246x = 47,407 × 47,407
  4. Step 4: Simplify right side
    22,246x = 2,247,423,649
  5. Step 5: Solve for x
    x = 2,247,423,649/22,246
  6. Step 6: Final answer
    x = 101,025.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.