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Finding the Third Proportional to 15,884 and 34,900

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Solution

The third proportional to 15,884 and 34,900 is: 76,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 34,900 = 34,900 : x
  2. Step 2: Convert to fraction form
    15,884/34,900 = 34,900/x
  3. Step 3: Cross multiply
    15,884x = 34,900 × 34,900
  4. Step 4: Simplify right side
    15,884x = 1,218,010,000
  5. Step 5: Solve for x
    x = 1,218,010,000/15,884
  6. Step 6: Final answer
    x = 76,681.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.