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Finding the Third Proportional to 4,368 and 10,189.50

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Solution

The third proportional to 4,368 and 10,189.50 is: 23,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368 : 10,189.50 = 10,189.50 : x
  2. Step 2: Convert to fraction form
    4,368/10,189.50 = 10,189.50/x
  3. Step 3: Cross multiply
    4,368x = 10,189.50 × 10,189.50
  4. Step 4: Simplify right side
    4,368x = 103,825,910.25
  5. Step 5: Solve for x
    x = 103,825,910.25/4,368
  6. Step 6: Final answer
    x = 23,769.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.