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Finding the Third Proportional to 15,995 and 37,361

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Solution

The third proportional to 15,995 and 37,361 is: 87,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,995 : 37,361 = 37,361 : x
  2. Step 2: Convert to fraction form
    15,995/37,361 = 37,361/x
  3. Step 3: Cross multiply
    15,995x = 37,361 × 37,361
  4. Step 4: Simplify right side
    15,995x = 1,395,844,321
  5. Step 5: Solve for x
    x = 1,395,844,321/15,995
  6. Step 6: Final answer
    x = 87,267.54

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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.