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Finding the Third Proportional to 15,882 and 37,627

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Solution

The third proportional to 15,882 and 37,627 is: 89,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882 : 37,627 = 37,627 : x
  2. Step 2: Convert to fraction form
    15,882/37,627 = 37,627/x
  3. Step 3: Cross multiply
    15,882x = 37,627 × 37,627
  4. Step 4: Simplify right side
    15,882x = 1,415,791,129
  5. Step 5: Solve for x
    x = 1,415,791,129/15,882
  6. Step 6: Final answer
    x = 89,144.39

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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.