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Finding the Third Proportional to 2,173.71 and 3,289.99

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Solution

The third proportional to 2,173.71 and 3,289.99 is: 4,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.71 : 3,289.99 = 3,289.99 : x
  2. Step 2: Convert to fraction form
    2,173.71/3,289.99 = 3,289.99/x
  3. Step 3: Cross multiply
    2,173.71x = 3,289.99 × 3,289.99
  4. Step 4: Simplify right side
    2,173.71x = 10,824,048.59
  5. Step 5: Solve for x
    x = 10,824,048.59/2,173.71
  6. Step 6: Final answer
    x = 4,979.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.