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Finding the Third Proportional to 9,142.88 and 12,418.31

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Solution

The third proportional to 9,142.88 and 12,418.31 is: 16,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.88 : 12,418.31 = 12,418.31 : x
  2. Step 2: Convert to fraction form
    9,142.88/12,418.31 = 12,418.31/x
  3. Step 3: Cross multiply
    9,142.88x = 12,418.31 × 12,418.31
  4. Step 4: Simplify right side
    9,142.88x = 154,214,485.35
  5. Step 5: Solve for x
    x = 154,214,485.35/9,142.88
  6. Step 6: Final answer
    x = 16,867.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.