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Finding the Third Proportional to 7,841 and 9,233

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Solution

The third proportional to 7,841 and 9,233 is: 10,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841 : 9,233 = 9,233 : x
  2. Step 2: Convert to fraction form
    7,841/9,233 = 9,233/x
  3. Step 3: Cross multiply
    7,841x = 9,233 × 9,233
  4. Step 4: Simplify right side
    7,841x = 85,248,289
  5. Step 5: Solve for x
    x = 85,248,289/7,841
  6. Step 6: Final answer
    x = 10,872.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.