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Finding the Third Proportional to 37,405.50 and 55,981.50

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Solution

The third proportional to 37,405.50 and 55,981.50 is: 83,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,405.50 : 55,981.50 = 55,981.50 : x
  2. Step 2: Convert to fraction form
    37,405.50/55,981.50 = 55,981.50/x
  3. Step 3: Cross multiply
    37,405.50x = 55,981.50 × 55,981.50
  4. Step 4: Simplify right side
    37,405.50x = 3,133,928,342.25
  5. Step 5: Solve for x
    x = 3,133,928,342.25/37,405.50
  6. Step 6: Final answer
    x = 83,782.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.