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Finding the Third Proportional to 37,899 and 58,846

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Solution

The third proportional to 37,899 and 58,846 is: 91,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,899 : 58,846 = 58,846 : x
  2. Step 2: Convert to fraction form
    37,899/58,846 = 58,846/x
  3. Step 3: Cross multiply
    37,899x = 58,846 × 58,846
  4. Step 4: Simplify right side
    37,899x = 3,462,851,716
  5. Step 5: Solve for x
    x = 3,462,851,716/37,899
  6. Step 6: Final answer
    x = 91,370.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.