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Finding the Third Proportional to 22,217 and 47,485

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Solution

The third proportional to 22,217 and 47,485 is: 101,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,217 : 47,485 = 47,485 : x
  2. Step 2: Convert to fraction form
    22,217/47,485 = 47,485/x
  3. Step 3: Cross multiply
    22,217x = 47,485 × 47,485
  4. Step 4: Simplify right side
    22,217x = 2,254,825,225
  5. Step 5: Solve for x
    x = 2,254,825,225/22,217
  6. Step 6: Final answer
    x = 101,490.99

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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.