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Finding the Third Proportional to 2,365 and 5,251

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Solution

The third proportional to 2,365 and 5,251 is: 11,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365 : 5,251 = 5,251 : x
  2. Step 2: Convert to fraction form
    2,365/5,251 = 5,251/x
  3. Step 3: Cross multiply
    2,365x = 5,251 × 5,251
  4. Step 4: Simplify right side
    2,365x = 27,573,001
  5. Step 5: Solve for x
    x = 27,573,001/2,365
  6. Step 6: Final answer
    x = 11,658.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.