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Finding the Third Proportional to 1,535.63 and 2,163.38

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Solution

The third proportional to 1,535.63 and 2,163.38 is: 3,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.63 : 2,163.38 = 2,163.38 : x
  2. Step 2: Convert to fraction form
    1,535.63/2,163.38 = 2,163.38/x
  3. Step 3: Cross multiply
    1,535.63x = 2,163.38 × 2,163.38
  4. Step 4: Simplify right side
    1,535.63x = 4,680,191.39
  5. Step 5: Solve for x
    x = 4,680,191.39/1,535.63
  6. Step 6: Final answer
    x = 3,047.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.