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Finding the Third Proportional to 12,261.38 and 16,410.09

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Solution

The third proportional to 12,261.38 and 16,410.09 is: 21,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.38 : 16,410.09 = 16,410.09 : x
  2. Step 2: Convert to fraction form
    12,261.38/16,410.09 = 16,410.09/x
  3. Step 3: Cross multiply
    12,261.38x = 16,410.09 × 16,410.09
  4. Step 4: Simplify right side
    12,261.38x = 269,291,176.88
  5. Step 5: Solve for x
    x = 269,291,176.88/12,261.38
  6. Step 6: Final answer
    x = 21,962.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.