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Finding the Third Proportional to 4,961.63 and 10,605.38

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Solution

The third proportional to 4,961.63 and 10,605.38 is: 22,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.63 : 10,605.38 = 10,605.38 : x
  2. Step 2: Convert to fraction form
    4,961.63/10,605.38 = 10,605.38/x
  3. Step 3: Cross multiply
    4,961.63x = 10,605.38 × 10,605.38
  4. Step 4: Simplify right side
    4,961.63x = 112,473,978.89
  5. Step 5: Solve for x
    x = 112,473,978.89/4,961.63
  6. Step 6: Final answer
    x = 22,668.78

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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.