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Finding the Third Proportional to 15,012 and 34,754

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Solution

The third proportional to 15,012 and 34,754 is: 80,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012 : 34,754 = 34,754 : x
  2. Step 2: Convert to fraction form
    15,012/34,754 = 34,754/x
  3. Step 3: Cross multiply
    15,012x = 34,754 × 34,754
  4. Step 4: Simplify right side
    15,012x = 1,207,840,516
  5. Step 5: Solve for x
    x = 1,207,840,516/15,012
  6. Step 6: Final answer
    x = 80,458.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.