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Finding the Third Proportional to 1,712.81 and 2,568.38

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Solution

The third proportional to 1,712.81 and 2,568.38 is: 3,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.81 : 2,568.38 = 2,568.38 : x
  2. Step 2: Convert to fraction form
    1,712.81/2,568.38 = 2,568.38/x
  3. Step 3: Cross multiply
    1,712.81x = 2,568.38 × 2,568.38
  4. Step 4: Simplify right side
    1,712.81x = 6,596,550.14
  5. Step 5: Solve for x
    x = 6,596,550.14/1,712.81
  6. Step 6: Final answer
    x = 3,851.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.