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Finding the Third Proportional to 6,746.63 and 13,874.63

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Solution

The third proportional to 6,746.63 and 13,874.63 is: 28,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.63 : 13,874.63 = 13,874.63 : x
  2. Step 2: Convert to fraction form
    6,746.63/13,874.63 = 13,874.63/x
  3. Step 3: Cross multiply
    6,746.63x = 13,874.63 × 13,874.63
  4. Step 4: Simplify right side
    6,746.63x = 192,505,218.89
  5. Step 5: Solve for x
    x = 192,505,218.89/6,746.63
  6. Step 6: Final answer
    x = 28,533.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.