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Finding the Third Proportional to 22,844 and 35,319

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Solution

The third proportional to 22,844 and 35,319 is: 54,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844 : 35,319 = 35,319 : x
  2. Step 2: Convert to fraction form
    22,844/35,319 = 35,319/x
  3. Step 3: Cross multiply
    22,844x = 35,319 × 35,319
  4. Step 4: Simplify right side
    22,844x = 1,247,431,761
  5. Step 5: Solve for x
    x = 1,247,431,761/22,844
  6. Step 6: Final answer
    x = 54,606.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.