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Finding the Third Proportional to 1,943.63 and 4,194.38

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Solution

The third proportional to 1,943.63 and 4,194.38 is: 9,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.63 : 4,194.38 = 4,194.38 : x
  2. Step 2: Convert to fraction form
    1,943.63/4,194.38 = 4,194.38/x
  3. Step 3: Cross multiply
    1,943.63x = 4,194.38 × 4,194.38
  4. Step 4: Simplify right side
    1,943.63x = 17,592,781.64
  5. Step 5: Solve for x
    x = 17,592,781.64/1,943.63
  6. Step 6: Final answer
    x = 9,051.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.