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Finding the Third Proportional to 1,523.81 and 3,168.19

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Solution

The third proportional to 1,523.81 and 3,168.19 is: 6,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.81 : 3,168.19 = 3,168.19 : x
  2. Step 2: Convert to fraction form
    1,523.81/3,168.19 = 3,168.19/x
  3. Step 3: Cross multiply
    1,523.81x = 3,168.19 × 3,168.19
  4. Step 4: Simplify right side
    1,523.81x = 10,037,412.04
  5. Step 5: Solve for x
    x = 10,037,412.04/1,523.81
  6. Step 6: Final answer
    x = 6,587.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.