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Finding the Third Proportional to 2,945.11 and 4,126.57

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Solution

The third proportional to 2,945.11 and 4,126.57 is: 5,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.11 : 4,126.57 = 4,126.57 : x
  2. Step 2: Convert to fraction form
    2,945.11/4,126.57 = 4,126.57/x
  3. Step 3: Cross multiply
    2,945.11x = 4,126.57 × 4,126.57
  4. Step 4: Simplify right side
    2,945.11x = 17,028,582.54
  5. Step 5: Solve for x
    x = 17,028,582.54/2,945.11
  6. Step 6: Final answer
    x = 5,781.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.