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Finding the Third Proportional to 4,965.75 and 10,918.69

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Solution

The third proportional to 4,965.75 and 10,918.69 is: 24,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.75 : 10,918.69 = 10,918.69 : x
  2. Step 2: Convert to fraction form
    4,965.75/10,918.69 = 10,918.69/x
  3. Step 3: Cross multiply
    4,965.75x = 10,918.69 × 10,918.69
  4. Step 4: Simplify right side
    4,965.75x = 119,217,736.72
  5. Step 5: Solve for x
    x = 119,217,736.72/4,965.75
  6. Step 6: Final answer
    x = 24,008.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.