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Finding the Third Proportional to 13,745.64 and 22,843.90

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Solution

The third proportional to 13,745.64 and 22,843.90 is: 37,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.64 : 22,843.90 = 22,843.90 : x
  2. Step 2: Convert to fraction form
    13,745.64/22,843.90 = 22,843.90/x
  3. Step 3: Cross multiply
    13,745.64x = 22,843.90 × 22,843.90
  4. Step 4: Simplify right side
    13,745.64x = 521,843,695.82
  5. Step 5: Solve for x
    x = 521,843,695.82/13,745.64
  6. Step 6: Final answer
    x = 37,964.32

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.