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Finding the Third Proportional to 1,288.13 and 2,637.84

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Solution

The third proportional to 1,288.13 and 2,637.84 is: 5,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.13 : 2,637.84 = 2,637.84 : x
  2. Step 2: Convert to fraction form
    1,288.13/2,637.84 = 2,637.84/x
  3. Step 3: Cross multiply
    1,288.13x = 2,637.84 × 2,637.84
  4. Step 4: Simplify right side
    1,288.13x = 6,958,219.65
  5. Step 5: Solve for x
    x = 6,958,219.65/1,288.13
  6. Step 6: Final answer
    x = 5,401.82

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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.