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Finding the Third Proportional to 10,824.89 and 23,460.89

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Solution

The third proportional to 10,824.89 and 23,460.89 is: 50,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.89 : 23,460.89 = 23,460.89 : x
  2. Step 2: Convert to fraction form
    10,824.89/23,460.89 = 23,460.89/x
  3. Step 3: Cross multiply
    10,824.89x = 23,460.89 × 23,460.89
  4. Step 4: Simplify right side
    10,824.89x = 550,413,388.92
  5. Step 5: Solve for x
    x = 550,413,388.92/10,824.89
  6. Step 6: Final answer
    x = 50,847.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.