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Finding the Third Proportional to 22,147 and 47,985

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Solution

The third proportional to 22,147 and 47,985 is: 103,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147 : 47,985 = 47,985 : x
  2. Step 2: Convert to fraction form
    22,147/47,985 = 47,985/x
  3. Step 3: Cross multiply
    22,147x = 47,985 × 47,985
  4. Step 4: Simplify right side
    22,147x = 2,302,560,225
  5. Step 5: Solve for x
    x = 2,302,560,225/22,147
  6. Step 6: Final answer
    x = 103,967.14

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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.