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Finding the Third Proportional to 37,759 and 58,700

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Solution

The third proportional to 37,759 and 58,700 is: 91,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,759 : 58,700 = 58,700 : x
  2. Step 2: Convert to fraction form
    37,759/58,700 = 58,700/x
  3. Step 3: Cross multiply
    37,759x = 58,700 × 58,700
  4. Step 4: Simplify right side
    37,759x = 3,445,690,000
  5. Step 5: Solve for x
    x = 3,445,690,000/37,759
  6. Step 6: Final answer
    x = 91,254.80

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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.