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Finding the Third Proportional to 37,581 and 58,522

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Solution

The third proportional to 37,581 and 58,522 is: 91,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,581 : 58,522 = 58,522 : x
  2. Step 2: Convert to fraction form
    37,581/58,522 = 58,522/x
  3. Step 3: Cross multiply
    37,581x = 58,522 × 58,522
  4. Step 4: Simplify right side
    37,581x = 3,424,824,484
  5. Step 5: Solve for x
    x = 3,424,824,484/37,581
  6. Step 6: Final answer
    x = 91,131.81

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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.