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Finding the Third Proportional to 1,840.86 and 3,973.61

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Solution

The third proportional to 1,840.86 and 3,973.61 is: 8,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.86 : 3,973.61 = 3,973.61 : x
  2. Step 2: Convert to fraction form
    1,840.86/3,973.61 = 3,973.61/x
  3. Step 3: Cross multiply
    1,840.86x = 3,973.61 × 3,973.61
  4. Step 4: Simplify right side
    1,840.86x = 15,789,557.88
  5. Step 5: Solve for x
    x = 15,789,557.88/1,840.86
  6. Step 6: Final answer
    x = 8,577.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.