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Finding the Third Proportional to 37,825.50 and 56,373

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Solution

The third proportional to 37,825.50 and 56,373 is: 84,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,825.50 : 56,373 = 56,373 : x
  2. Step 2: Convert to fraction form
    37,825.50/56,373 = 56,373/x
  3. Step 3: Cross multiply
    37,825.50x = 56,373 × 56,373
  4. Step 4: Simplify right side
    37,825.50x = 3,177,915,129
  5. Step 5: Solve for x
    x = 3,177,915,129/37,825.50
  6. Step 6: Final answer
    x = 84,015.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.