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Finding the Third Proportional to 11,441.88 and 23,618.46

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Solution

The third proportional to 11,441.88 and 23,618.46 is: 48,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.88 : 23,618.46 = 23,618.46 : x
  2. Step 2: Convert to fraction form
    11,441.88/23,618.46 = 23,618.46/x
  3. Step 3: Cross multiply
    11,441.88x = 23,618.46 × 23,618.46
  4. Step 4: Simplify right side
    11,441.88x = 557,831,697.06
  5. Step 5: Solve for x
    x = 557,831,697.06/11,441.88
  6. Step 6: Final answer
    x = 48,753.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.