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Finding the Third Proportional to 1,945.27 and 4,197.66

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Solution

The third proportional to 1,945.27 and 4,197.66 is: 9,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.27 : 4,197.66 = 4,197.66 : x
  2. Step 2: Convert to fraction form
    1,945.27/4,197.66 = 4,197.66/x
  3. Step 3: Cross multiply
    1,945.27x = 4,197.66 × 4,197.66
  4. Step 4: Simplify right side
    1,945.27x = 17,620,317.99
  5. Step 5: Solve for x
    x = 17,620,317.99/1,945.27
  6. Step 6: Final answer
    x = 9,058.05

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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.