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Finding the Third Proportional to 1,945.38 and 4,164.13

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Solution

The third proportional to 1,945.38 and 4,164.13 is: 8,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.38 : 4,164.13 = 4,164.13 : x
  2. Step 2: Convert to fraction form
    1,945.38/4,164.13 = 4,164.13/x
  3. Step 3: Cross multiply
    1,945.38x = 4,164.13 × 4,164.13
  4. Step 4: Simplify right side
    1,945.38x = 17,339,937.02
  5. Step 5: Solve for x
    x = 17,339,937.02/1,945.38
  6. Step 6: Final answer
    x = 8,913.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.