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Finding the Third Proportional to 12,679.88 and 16,826.06

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Solution

The third proportional to 12,679.88 and 16,826.06 is: 22,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.88 : 16,826.06 = 16,826.06 : x
  2. Step 2: Convert to fraction form
    12,679.88/16,826.06 = 16,826.06/x
  3. Step 3: Cross multiply
    12,679.88x = 16,826.06 × 16,826.06
  4. Step 4: Simplify right side
    12,679.88x = 283,116,379.25
  5. Step 5: Solve for x
    x = 283,116,379.25/12,679.88
  6. Step 6: Final answer
    x = 22,328.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.