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Finding the Third Proportional to 37,308 and 52,161

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Solution

The third proportional to 37,308 and 52,161 is: 72,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,308 : 52,161 = 52,161 : x
  2. Step 2: Convert to fraction form
    37,308/52,161 = 52,161/x
  3. Step 3: Cross multiply
    37,308x = 52,161 × 52,161
  4. Step 4: Simplify right side
    37,308x = 2,720,769,921
  5. Step 5: Solve for x
    x = 2,720,769,921/37,308
  6. Step 6: Final answer
    x = 72,927.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.