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Finding the Third Proportional to 37,579 and 58,519

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Solution

The third proportional to 37,579 and 58,519 is: 91,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,579 : 58,519 = 58,519 : x
  2. Step 2: Convert to fraction form
    37,579/58,519 = 58,519/x
  3. Step 3: Cross multiply
    37,579x = 58,519 × 58,519
  4. Step 4: Simplify right side
    37,579x = 3,424,473,361
  5. Step 5: Solve for x
    x = 3,424,473,361/37,579
  6. Step 6: Final answer
    x = 91,127.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.