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Finding the Third Proportional to 21,994.31 and 48,362.34

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Solution

The third proportional to 21,994.31 and 48,362.34 is: 106,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.31 : 48,362.34 = 48,362.34 : x
  2. Step 2: Convert to fraction form
    21,994.31/48,362.34 = 48,362.34/x
  3. Step 3: Cross multiply
    21,994.31x = 48,362.34 × 48,362.34
  4. Step 4: Simplify right side
    21,994.31x = 2,338,916,292.99
  5. Step 5: Solve for x
    x = 2,338,916,292.99/21,994.31
  6. Step 6: Final answer
    x = 106,341.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.