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Finding the Third Proportional to 17,202 and 22,947

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Solution

The third proportional to 17,202 and 22,947 is: 30,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202 : 22,947 = 22,947 : x
  2. Step 2: Convert to fraction form
    17,202/22,947 = 22,947/x
  3. Step 3: Cross multiply
    17,202x = 22,947 × 22,947
  4. Step 4: Simplify right side
    17,202x = 526,564,809
  5. Step 5: Solve for x
    x = 526,564,809/17,202
  6. Step 6: Final answer
    x = 30,610.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.