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Finding the Third Proportional to 1,588.99 and 3,254.87

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Solution

The third proportional to 1,588.99 and 3,254.87 is: 6,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.99 : 3,254.87 = 3,254.87 : x
  2. Step 2: Convert to fraction form
    1,588.99/3,254.87 = 3,254.87/x
  3. Step 3: Cross multiply
    1,588.99x = 3,254.87 × 3,254.87
  4. Step 4: Simplify right side
    1,588.99x = 10,594,185.84
  5. Step 5: Solve for x
    x = 10,594,185.84/1,588.99
  6. Step 6: Final answer
    x = 6,667.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.