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Finding the Third Proportional to 37,791 and 58,984

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Solution

The third proportional to 37,791 and 58,984 is: 92,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,791 : 58,984 = 58,984 : x
  2. Step 2: Convert to fraction form
    37,791/58,984 = 58,984/x
  3. Step 3: Cross multiply
    37,791x = 58,984 × 58,984
  4. Step 4: Simplify right side
    37,791x = 3,479,112,256
  5. Step 5: Solve for x
    x = 3,479,112,256/37,791
  6. Step 6: Final answer
    x = 92,061.93

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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.