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Finding the Third Proportional to 22,844 and 35,157

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Solution

The third proportional to 22,844 and 35,157 is: 54,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844 : 35,157 = 35,157 : x
  2. Step 2: Convert to fraction form
    22,844/35,157 = 35,157/x
  3. Step 3: Cross multiply
    22,844x = 35,157 × 35,157
  4. Step 4: Simplify right side
    22,844x = 1,236,014,649
  5. Step 5: Solve for x
    x = 1,236,014,649/22,844
  6. Step 6: Final answer
    x = 54,106.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.