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Finding the Third Proportional to 37,219.50 and 52,062.75

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Solution

The third proportional to 37,219.50 and 52,062.75 is: 72,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,219.50 : 52,062.75 = 52,062.75 : x
  2. Step 2: Convert to fraction form
    37,219.50/52,062.75 = 52,062.75/x
  3. Step 3: Cross multiply
    37,219.50x = 52,062.75 × 52,062.75
  4. Step 4: Simplify right side
    37,219.50x = 2,710,529,937.56
  5. Step 5: Solve for x
    x = 2,710,529,937.56/37,219.50
  6. Step 6: Final answer
    x = 72,825.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.