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Finding the Third Proportional to 21,787 and 47,174

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Solution

The third proportional to 21,787 and 47,174 is: 102,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787 : 47,174 = 47,174 : x
  2. Step 2: Convert to fraction form
    21,787/47,174 = 47,174/x
  3. Step 3: Cross multiply
    21,787x = 47,174 × 47,174
  4. Step 4: Simplify right side
    21,787x = 2,225,386,276
  5. Step 5: Solve for x
    x = 2,225,386,276/21,787
  6. Step 6: Final answer
    x = 102,142.85

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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.