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Finding the Third Proportional to 22,876 and 35,650

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Solution

The third proportional to 22,876 and 35,650 is: 55,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876 : 35,650 = 35,650 : x
  2. Step 2: Convert to fraction form
    22,876/35,650 = 35,650/x
  3. Step 3: Cross multiply
    22,876x = 35,650 × 35,650
  4. Step 4: Simplify right side
    22,876x = 1,270,922,500
  5. Step 5: Solve for x
    x = 1,270,922,500/22,876
  6. Step 6: Final answer
    x = 55,557.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.