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Finding the Third Proportional to 1,903.08 and 4,414.29

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Solution

The third proportional to 1,903.08 and 4,414.29 is: 10,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.08 : 4,414.29 = 4,414.29 : x
  2. Step 2: Convert to fraction form
    1,903.08/4,414.29 = 4,414.29/x
  3. Step 3: Cross multiply
    1,903.08x = 4,414.29 × 4,414.29
  4. Step 4: Simplify right side
    1,903.08x = 19,485,947.93
  5. Step 5: Solve for x
    x = 19,485,947.93/1,903.08
  6. Step 6: Final answer
    x = 10,239.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.