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Finding the Third Proportional to 37,224 and 81,784

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Solution

The third proportional to 37,224 and 81,784 is: 179,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224 : 81,784 = 81,784 : x
  2. Step 2: Convert to fraction form
    37,224/81,784 = 81,784/x
  3. Step 3: Cross multiply
    37,224x = 81,784 × 81,784
  4. Step 4: Simplify right side
    37,224x = 6,688,622,656
  5. Step 5: Solve for x
    x = 6,688,622,656/37,224
  6. Step 6: Final answer
    x = 179,685.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.