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Finding the Third Proportional to 4,932 and 8,222

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Solution

The third proportional to 4,932 and 8,222 is: 13,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932 : 8,222 = 8,222 : x
  2. Step 2: Convert to fraction form
    4,932/8,222 = 8,222/x
  3. Step 3: Cross multiply
    4,932x = 8,222 × 8,222
  4. Step 4: Simplify right side
    4,932x = 67,601,284
  5. Step 5: Solve for x
    x = 67,601,284/4,932
  6. Step 6: Final answer
    x = 13,706.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.