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Finding the Third Proportional to 27,430 and 37,170

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Solution

The third proportional to 27,430 and 37,170 is: 50,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430 : 37,170 = 37,170 : x
  2. Step 2: Convert to fraction form
    27,430/37,170 = 37,170/x
  3. Step 3: Cross multiply
    27,430x = 37,170 × 37,170
  4. Step 4: Simplify right side
    27,430x = 1,381,608,900
  5. Step 5: Solve for x
    x = 1,381,608,900/27,430
  6. Step 6: Final answer
    x = 50,368.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.