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Finding the Third Proportional to 1,945.13 and 4,269.94

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Solution

The third proportional to 1,945.13 and 4,269.94 is: 9,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.13 : 4,269.94 = 4,269.94 : x
  2. Step 2: Convert to fraction form
    1,945.13/4,269.94 = 4,269.94/x
  3. Step 3: Cross multiply
    1,945.13x = 4,269.94 × 4,269.94
  4. Step 4: Simplify right side
    1,945.13x = 18,232,366.25
  5. Step 5: Solve for x
    x = 18,232,366.25/1,945.13
  6. Step 6: Final answer
    x = 9,373.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.