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Finding the Third Proportional to 4,849.88 and 10,795.78

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Solution

The third proportional to 4,849.88 and 10,795.78 is: 24,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.88 : 10,795.78 = 10,795.78 : x
  2. Step 2: Convert to fraction form
    4,849.88/10,795.78 = 10,795.78/x
  3. Step 3: Cross multiply
    4,849.88x = 10,795.78 × 10,795.78
  4. Step 4: Simplify right side
    4,849.88x = 116,548,892.80
  5. Step 5: Solve for x
    x = 116,548,892.80/4,849.88
  6. Step 6: Final answer
    x = 24,031.32

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.