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Finding the Third Proportional to 4,910.63 and 10,499.63

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Solution

The third proportional to 4,910.63 and 10,499.63 is: 22,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.63 : 10,499.63 = 10,499.63 : x
  2. Step 2: Convert to fraction form
    4,910.63/10,499.63 = 10,499.63/x
  3. Step 3: Cross multiply
    4,910.63x = 10,499.63 × 10,499.63
  4. Step 4: Simplify right side
    4,910.63x = 110,242,125.14
  5. Step 5: Solve for x
    x = 110,242,125.14/4,910.63
  6. Step 6: Final answer
    x = 22,449.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.