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Finding the Third Proportional to 809.71 and 1,289.05

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Solution

The third proportional to 809.71 and 1,289.05 is: 2,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.71 : 1,289.05 = 1,289.05 : x
  2. Step 2: Convert to fraction form
    809.71/1,289.05 = 1,289.05/x
  3. Step 3: Cross multiply
    809.71x = 1,289.05 × 1,289.05
  4. Step 4: Simplify right side
    809.71x = 1,661,659.94
  5. Step 5: Solve for x
    x = 1,661,659.94/809.71
  6. Step 6: Final answer
    x = 2,052.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.