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Finding the Third Proportional to 26,676.56 and 56,638.69

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Solution

The third proportional to 26,676.56 and 56,638.69 is: 120,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,676.56 : 56,638.69 = 56,638.69 : x
  2. Step 2: Convert to fraction form
    26,676.56/56,638.69 = 56,638.69/x
  3. Step 3: Cross multiply
    26,676.56x = 56,638.69 × 56,638.69
  4. Step 4: Simplify right side
    26,676.56x = 3,207,940,921.72
  5. Step 5: Solve for x
    x = 3,207,940,921.72/26,676.56
  6. Step 6: Final answer
    x = 120,253.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.