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Finding the Third Proportional to 4,767.75 and 10,218.38

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Solution

The third proportional to 4,767.75 and 10,218.38 is: 21,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.75 : 10,218.38 = 10,218.38 : x
  2. Step 2: Convert to fraction form
    4,767.75/10,218.38 = 10,218.38/x
  3. Step 3: Cross multiply
    4,767.75x = 10,218.38 × 10,218.38
  4. Step 4: Simplify right side
    4,767.75x = 104,415,187.64
  5. Step 5: Solve for x
    x = 104,415,187.64/4,767.75
  6. Step 6: Final answer
    x = 21,900.31

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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.