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Finding the Third Proportional to 4,140.28 and 8,941.22

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Solution

The third proportional to 4,140.28 and 8,941.22 is: 19,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.28 : 8,941.22 = 8,941.22 : x
  2. Step 2: Convert to fraction form
    4,140.28/8,941.22 = 8,941.22/x
  3. Step 3: Cross multiply
    4,140.28x = 8,941.22 × 8,941.22
  4. Step 4: Simplify right side
    4,140.28x = 79,945,392.74
  5. Step 5: Solve for x
    x = 79,945,392.74/4,140.28
  6. Step 6: Final answer
    x = 19,309.17

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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.