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Finding the Third Proportional to 15,032 and 34,836

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Solution

The third proportional to 15,032 and 34,836 is: 80,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,032 : 34,836 = 34,836 : x
  2. Step 2: Convert to fraction form
    15,032/34,836 = 34,836/x
  3. Step 3: Cross multiply
    15,032x = 34,836 × 34,836
  4. Step 4: Simplify right side
    15,032x = 1,213,546,896
  5. Step 5: Solve for x
    x = 1,213,546,896/15,032
  6. Step 6: Final answer
    x = 80,730.90

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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.