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Finding the Third Proportional to 2,840.06 and 6,107.91

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Solution

The third proportional to 2,840.06 and 6,107.91 is: 13,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.06 : 6,107.91 = 6,107.91 : x
  2. Step 2: Convert to fraction form
    2,840.06/6,107.91 = 6,107.91/x
  3. Step 3: Cross multiply
    2,840.06x = 6,107.91 × 6,107.91
  4. Step 4: Simplify right side
    2,840.06x = 37,306,518.76
  5. Step 5: Solve for x
    x = 37,306,518.76/2,840.06
  6. Step 6: Final answer
    x = 13,135.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.