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Finding the Third Proportional to 15,979 and 34,841.75

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Solution

The third proportional to 15,979 and 34,841.75 is: 75,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,979 : 34,841.75 = 34,841.75 : x
  2. Step 2: Convert to fraction form
    15,979/34,841.75 = 34,841.75/x
  3. Step 3: Cross multiply
    15,979x = 34,841.75 × 34,841.75
  4. Step 4: Simplify right side
    15,979x = 1,213,947,543.06
  5. Step 5: Solve for x
    x = 1,213,947,543.06/15,979
  6. Step 6: Final answer
    x = 75,971.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.