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Finding the Third Proportional to 4,676.91 and 10,233

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Solution

The third proportional to 4,676.91 and 10,233 is: 22,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.91 : 10,233 = 10,233 : x
  2. Step 2: Convert to fraction form
    4,676.91/10,233 = 10,233/x
  3. Step 3: Cross multiply
    4,676.91x = 10,233 × 10,233
  4. Step 4: Simplify right side
    4,676.91x = 104,714,289
  5. Step 5: Solve for x
    x = 104,714,289/4,676.91
  6. Step 6: Final answer
    x = 22,389.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.