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Finding the Third Proportional to 1,568.63 and 3,410.53

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Solution

The third proportional to 1,568.63 and 3,410.53 is: 7,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.63 : 3,410.53 = 3,410.53 : x
  2. Step 2: Convert to fraction form
    1,568.63/3,410.53 = 3,410.53/x
  3. Step 3: Cross multiply
    1,568.63x = 3,410.53 × 3,410.53
  4. Step 4: Simplify right side
    1,568.63x = 11,631,723.41
  5. Step 5: Solve for x
    x = 11,631,723.41/1,568.63
  6. Step 6: Final answer
    x = 7,415.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.