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Finding the Third Proportional to 1,917.94 and 4,201.97

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Solution

The third proportional to 1,917.94 and 4,201.97 is: 9,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.94 : 4,201.97 = 4,201.97 : x
  2. Step 2: Convert to fraction form
    1,917.94/4,201.97 = 4,201.97/x
  3. Step 3: Cross multiply
    1,917.94x = 4,201.97 × 4,201.97
  4. Step 4: Simplify right side
    1,917.94x = 17,656,541.38
  5. Step 5: Solve for x
    x = 17,656,541.38/1,917.94
  6. Step 6: Final answer
    x = 9,206.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.