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Finding the Third Proportional to 1,289.25 and 2,588.63

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Solution

The third proportional to 1,289.25 and 2,588.63 is: 5,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.25 : 2,588.63 = 2,588.63 : x
  2. Step 2: Convert to fraction form
    1,289.25/2,588.63 = 2,588.63/x
  3. Step 3: Cross multiply
    1,289.25x = 2,588.63 × 2,588.63
  4. Step 4: Simplify right side
    1,289.25x = 6,700,979.39
  5. Step 5: Solve for x
    x = 6,700,979.39/1,289.25
  6. Step 6: Final answer
    x = 5,197.58

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.