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Finding the Third Proportional to 10,716.75 and 22,101.75

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Solution

The third proportional to 10,716.75 and 22,101.75 is: 45,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.75 : 22,101.75 = 22,101.75 : x
  2. Step 2: Convert to fraction form
    10,716.75/22,101.75 = 22,101.75/x
  3. Step 3: Cross multiply
    10,716.75x = 22,101.75 × 22,101.75
  4. Step 4: Simplify right side
    10,716.75x = 488,487,353.06
  5. Step 5: Solve for x
    x = 488,487,353.06/10,716.75
  6. Step 6: Final answer
    x = 45,581.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.