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Finding the Third Proportional to 2,840.30 and 5,941.59

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Solution

The third proportional to 2,840.30 and 5,941.59 is: 12,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.30 : 5,941.59 = 5,941.59 : x
  2. Step 2: Convert to fraction form
    2,840.30/5,941.59 = 5,941.59/x
  3. Step 3: Cross multiply
    2,840.30x = 5,941.59 × 5,941.59
  4. Step 4: Simplify right side
    2,840.30x = 35,302,536.29
  5. Step 5: Solve for x
    x = 35,302,536.29/2,840.30
  6. Step 6: Final answer
    x = 12,429.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.