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Finding the Third Proportional to 37,546 and 52,491.75

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Solution

The third proportional to 37,546 and 52,491.75 is: 73,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,546 : 52,491.75 = 52,491.75 : x
  2. Step 2: Convert to fraction form
    37,546/52,491.75 = 52,491.75/x
  3. Step 3: Cross multiply
    37,546x = 52,491.75 × 52,491.75
  4. Step 4: Simplify right side
    37,546x = 2,755,383,818.06
  5. Step 5: Solve for x
    x = 2,755,383,818.06/37,546
  6. Step 6: Final answer
    x = 73,386.88

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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.