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Finding the Third Proportional to 17,206.88 and 22,676.63

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Solution

The third proportional to 17,206.88 and 22,676.63 is: 29,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.88 : 22,676.63 = 22,676.63 : x
  2. Step 2: Convert to fraction form
    17,206.88/22,676.63 = 22,676.63/x
  3. Step 3: Cross multiply
    17,206.88x = 22,676.63 × 22,676.63
  4. Step 4: Simplify right side
    17,206.88x = 514,229,321.39
  5. Step 5: Solve for x
    x = 514,229,321.39/17,206.88
  6. Step 6: Final answer
    x = 29,885.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.