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Finding the Third Proportional to 1,803.38 and 4,269.94

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Solution

The third proportional to 1,803.38 and 4,269.94 is: 10,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.38 : 4,269.94 = 4,269.94 : x
  2. Step 2: Convert to fraction form
    1,803.38/4,269.94 = 4,269.94/x
  3. Step 3: Cross multiply
    1,803.38x = 4,269.94 × 4,269.94
  4. Step 4: Simplify right side
    1,803.38x = 18,232,366.25
  5. Step 5: Solve for x
    x = 18,232,366.25/1,803.38
  6. Step 6: Final answer
    x = 10,110.14

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.