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Finding the Third Proportional to 1,840.06 and 4,023.74

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Solution

The third proportional to 1,840.06 and 4,023.74 is: 8,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.06 : 4,023.74 = 4,023.74 : x
  2. Step 2: Convert to fraction form
    1,840.06/4,023.74 = 4,023.74/x
  3. Step 3: Cross multiply
    1,840.06x = 4,023.74 × 4,023.74
  4. Step 4: Simplify right side
    1,840.06x = 16,190,469.76
  5. Step 5: Solve for x
    x = 16,190,469.76/1,840.06
  6. Step 6: Final answer
    x = 8,798.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.