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Finding the Third Proportional to 10,032 and 13,112

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Solution

The third proportional to 10,032 and 13,112 is: 17,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032 : 13,112 = 13,112 : x
  2. Step 2: Convert to fraction form
    10,032/13,112 = 13,112/x
  3. Step 3: Cross multiply
    10,032x = 13,112 × 13,112
  4. Step 4: Simplify right side
    10,032x = 171,924,544
  5. Step 5: Solve for x
    x = 171,924,544/10,032
  6. Step 6: Final answer
    x = 17,137.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.