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Finding the Third Proportional to 21,870 and 34,749

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Solution

The third proportional to 21,870 and 34,749 is: 55,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870 : 34,749 = 34,749 : x
  2. Step 2: Convert to fraction form
    21,870/34,749 = 34,749/x
  3. Step 3: Cross multiply
    21,870x = 34,749 × 34,749
  4. Step 4: Simplify right side
    21,870x = 1,207,493,001
  5. Step 5: Solve for x
    x = 1,207,493,001/21,870
  6. Step 6: Final answer
    x = 55,212.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.