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Finding the Third Proportional to 4,971.94 and 10,822.78

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Solution

The third proportional to 4,971.94 and 10,822.78 is: 23,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.94 : 10,822.78 = 10,822.78 : x
  2. Step 2: Convert to fraction form
    4,971.94/10,822.78 = 10,822.78/x
  3. Step 3: Cross multiply
    4,971.94x = 10,822.78 × 10,822.78
  4. Step 4: Simplify right side
    4,971.94x = 117,132,593.99
  5. Step 5: Solve for x
    x = 117,132,593.99/4,971.94
  6. Step 6: Final answer
    x = 23,558.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.