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Finding the Third Proportional to 15,914 and 37,161

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Solution

The third proportional to 15,914 and 37,161 is: 86,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914 : 37,161 = 37,161 : x
  2. Step 2: Convert to fraction form
    15,914/37,161 = 37,161/x
  3. Step 3: Cross multiply
    15,914x = 37,161 × 37,161
  4. Step 4: Simplify right side
    15,914x = 1,380,939,921
  5. Step 5: Solve for x
    x = 1,380,939,921/15,914
  6. Step 6: Final answer
    x = 86,775.16

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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.