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Finding the Third Proportional to 26,931 and 37,674

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Solution

The third proportional to 26,931 and 37,674 is: 52,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,931 : 37,674 = 37,674 : x
  2. Step 2: Convert to fraction form
    26,931/37,674 = 37,674/x
  3. Step 3: Cross multiply
    26,931x = 37,674 × 37,674
  4. Step 4: Simplify right side
    26,931x = 1,419,330,276
  5. Step 5: Solve for x
    x = 1,419,330,276/26,931
  6. Step 6: Final answer
    x = 52,702.47

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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.