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Finding the Third Proportional to 2,266.69 and 4,805.53

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Solution

The third proportional to 2,266.69 and 4,805.53 is: 10,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.69 : 4,805.53 = 4,805.53 : x
  2. Step 2: Convert to fraction form
    2,266.69/4,805.53 = 4,805.53/x
  3. Step 3: Cross multiply
    2,266.69x = 4,805.53 × 4,805.53
  4. Step 4: Simplify right side
    2,266.69x = 23,093,130.59
  5. Step 5: Solve for x
    x = 23,093,130.59/2,266.69
  6. Step 6: Final answer
    x = 10,188.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.