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Finding the Third Proportional to 22,207 and 48,331

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Solution

The third proportional to 22,207 and 48,331 is: 105,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,207 : 48,331 = 48,331 : x
  2. Step 2: Convert to fraction form
    22,207/48,331 = 48,331/x
  3. Step 3: Cross multiply
    22,207x = 48,331 × 48,331
  4. Step 4: Simplify right side
    22,207x = 2,335,885,561
  5. Step 5: Solve for x
    x = 2,335,885,561/22,207
  6. Step 6: Final answer
    x = 105,186.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.