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Finding the Third Proportional to 15,991 and 37,351

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Solution

The third proportional to 15,991 and 37,351 is: 87,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991 : 37,351 = 37,351 : x
  2. Step 2: Convert to fraction form
    15,991/37,351 = 37,351/x
  3. Step 3: Cross multiply
    15,991x = 37,351 × 37,351
  4. Step 4: Simplify right side
    15,991x = 1,395,097,201
  5. Step 5: Solve for x
    x = 1,395,097,201/15,991
  6. Step 6: Final answer
    x = 87,242.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.