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Finding the Third Proportional to 57,647 and 89,028

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Solution

The third proportional to 57,647 and 89,028 is: 137,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,647 : 89,028 = 89,028 : x
  2. Step 2: Convert to fraction form
    57,647/89,028 = 89,028/x
  3. Step 3: Cross multiply
    57,647x = 89,028 × 89,028
  4. Step 4: Simplify right side
    57,647x = 7,925,984,784
  5. Step 5: Solve for x
    x = 7,925,984,784/57,647
  6. Step 6: Final answer
    x = 137,491.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.