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Finding the Third Proportional to 2,768.63 and 5,851.13

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Solution

The third proportional to 2,768.63 and 5,851.13 is: 12,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.63 : 5,851.13 = 5,851.13 : x
  2. Step 2: Convert to fraction form
    2,768.63/5,851.13 = 5,851.13/x
  3. Step 3: Cross multiply
    2,768.63x = 5,851.13 × 5,851.13
  4. Step 4: Simplify right side
    2,768.63x = 34,235,663.77
  5. Step 5: Solve for x
    x = 34,235,663.77/2,768.63
  6. Step 6: Final answer
    x = 12,365.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.