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Finding the Third Proportional to 8,676.70 and 13,501.27

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Solution

The third proportional to 8,676.70 and 13,501.27 is: 21,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.70 : 13,501.27 = 13,501.27 : x
  2. Step 2: Convert to fraction form
    8,676.70/13,501.27 = 13,501.27/x
  3. Step 3: Cross multiply
    8,676.70x = 13,501.27 × 13,501.27
  4. Step 4: Simplify right side
    8,676.70x = 182,284,173.48
  5. Step 5: Solve for x
    x = 182,284,173.48/8,676.70
  6. Step 6: Final answer
    x = 21,008.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.