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Finding the Third Proportional to 10,765 and 23,651.75

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Solution

The third proportional to 10,765 and 23,651.75 is: 51,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765 : 23,651.75 = 23,651.75 : x
  2. Step 2: Convert to fraction form
    10,765/23,651.75 = 23,651.75/x
  3. Step 3: Cross multiply
    10,765x = 23,651.75 × 23,651.75
  4. Step 4: Simplify right side
    10,765x = 559,405,278.06
  5. Step 5: Solve for x
    x = 559,405,278.06/10,765
  6. Step 6: Final answer
    x = 51,965.19

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Why These Related Problems?

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