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Finding the Third Proportional to 37,707.75 and 74,463.50

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Solution

The third proportional to 37,707.75 and 74,463.50 is: 147,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,707.75 : 74,463.50 = 74,463.50 : x
  2. Step 2: Convert to fraction form
    37,707.75/74,463.50 = 74,463.50/x
  3. Step 3: Cross multiply
    37,707.75x = 74,463.50 × 74,463.50
  4. Step 4: Simplify right side
    37,707.75x = 5,544,812,832.25
  5. Step 5: Solve for x
    x = 5,544,812,832.25/37,707.75
  6. Step 6: Final answer
    x = 147,047.03

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.