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Finding the Third Proportional to 7,072 and 11,616

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Solution

The third proportional to 7,072 and 11,616 is: 19,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072 : 11,616 = 11,616 : x
  2. Step 2: Convert to fraction form
    7,072/11,616 = 11,616/x
  3. Step 3: Cross multiply
    7,072x = 11,616 × 11,616
  4. Step 4: Simplify right side
    7,072x = 134,931,456
  5. Step 5: Solve for x
    x = 134,931,456/7,072
  6. Step 6: Final answer
    x = 19,079.67

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.