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Finding the Third Proportional to 22,553.44 and 46,944.56

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Solution

The third proportional to 22,553.44 and 46,944.56 is: 97,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,553.44 : 46,944.56 = 46,944.56 : x
  2. Step 2: Convert to fraction form
    22,553.44/46,944.56 = 46,944.56/x
  3. Step 3: Cross multiply
    22,553.44x = 46,944.56 × 46,944.56
  4. Step 4: Simplify right side
    22,553.44x = 2,203,791,948.32
  5. Step 5: Solve for x
    x = 2,203,791,948.32/22,553.44
  6. Step 6: Final answer
    x = 97,714.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.