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Finding the Third Proportional to 2,294 and 5,165

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Solution

The third proportional to 2,294 and 5,165 is: 11,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294 : 5,165 = 5,165 : x
  2. Step 2: Convert to fraction form
    2,294/5,165 = 5,165/x
  3. Step 3: Cross multiply
    2,294x = 5,165 × 5,165
  4. Step 4: Simplify right side
    2,294x = 26,677,225
  5. Step 5: Solve for x
    x = 26,677,225/2,294
  6. Step 6: Final answer
    x = 11,629.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.