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Finding the Third Proportional to 37,971.50 and 58,947

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Solution

The third proportional to 37,971.50 and 58,947 is: 91,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971.50 : 58,947 = 58,947 : x
  2. Step 2: Convert to fraction form
    37,971.50/58,947 = 58,947/x
  3. Step 3: Cross multiply
    37,971.50x = 58,947 × 58,947
  4. Step 4: Simplify right side
    37,971.50x = 3,474,748,809
  5. Step 5: Solve for x
    x = 3,474,748,809/37,971.50
  6. Step 6: Final answer
    x = 91,509.39

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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.