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Finding the Third Proportional to 1,941.75 and 4,260.94

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Solution

The third proportional to 1,941.75 and 4,260.94 is: 9,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.75 : 4,260.94 = 4,260.94 : x
  2. Step 2: Convert to fraction form
    1,941.75/4,260.94 = 4,260.94/x
  3. Step 3: Cross multiply
    1,941.75x = 4,260.94 × 4,260.94
  4. Step 4: Simplify right side
    1,941.75x = 18,155,588.38
  5. Step 5: Solve for x
    x = 18,155,588.38/1,941.75
  6. Step 6: Final answer
    x = 9,350.12

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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.