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Finding the Third Proportional to 21,884 and 34,740

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Solution

The third proportional to 21,884 and 34,740 is: 55,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884 : 34,740 = 34,740 : x
  2. Step 2: Convert to fraction form
    21,884/34,740 = 34,740/x
  3. Step 3: Cross multiply
    21,884x = 34,740 × 34,740
  4. Step 4: Simplify right side
    21,884x = 1,206,867,600
  5. Step 5: Solve for x
    x = 1,206,867,600/21,884
  6. Step 6: Final answer
    x = 55,148.40

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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.