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Finding the Third Proportional to 4,749.75 and 10,319.63

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Solution

The third proportional to 4,749.75 and 10,319.63 is: 22,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.75 : 10,319.63 = 10,319.63 : x
  2. Step 2: Convert to fraction form
    4,749.75/10,319.63 = 10,319.63/x
  3. Step 3: Cross multiply
    4,749.75x = 10,319.63 × 10,319.63
  4. Step 4: Simplify right side
    4,749.75x = 106,494,660.14
  5. Step 5: Solve for x
    x = 106,494,660.14/4,749.75
  6. Step 6: Final answer
    x = 22,421.11

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