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Finding the Third Proportional to 21,751 and 47,065

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Solution

The third proportional to 21,751 and 47,065 is: 101,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751 : 47,065 = 47,065 : x
  2. Step 2: Convert to fraction form
    21,751/47,065 = 47,065/x
  3. Step 3: Cross multiply
    21,751x = 47,065 × 47,065
  4. Step 4: Simplify right side
    21,751x = 2,215,114,225
  5. Step 5: Solve for x
    x = 2,215,114,225/21,751
  6. Step 6: Final answer
    x = 101,839.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.