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Finding the Third Proportional to 4,961.33 and 10,605.03

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Solution

The third proportional to 4,961.33 and 10,605.03 is: 22,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.33 : 10,605.03 = 10,605.03 : x
  2. Step 2: Convert to fraction form
    4,961.33/10,605.03 = 10,605.03/x
  3. Step 3: Cross multiply
    4,961.33x = 10,605.03 × 10,605.03
  4. Step 4: Simplify right side
    4,961.33x = 112,466,615.32
  5. Step 5: Solve for x
    x = 112,466,615.32/4,961.33
  6. Step 6: Final answer
    x = 22,668.65

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