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Finding the Third Proportional to 15,863 and 37,580

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Solution

The third proportional to 15,863 and 37,580 is: 89,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863 : 37,580 = 37,580 : x
  2. Step 2: Convert to fraction form
    15,863/37,580 = 37,580/x
  3. Step 3: Cross multiply
    15,863x = 37,580 × 37,580
  4. Step 4: Simplify right side
    15,863x = 1,412,256,400
  5. Step 5: Solve for x
    x = 1,412,256,400/15,863
  6. Step 6: Final answer
    x = 89,028.33

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.