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Finding the Third Proportional to 7,189 and 8,773

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Solution

The third proportional to 7,189 and 8,773 is: 10,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189 : 8,773 = 8,773 : x
  2. Step 2: Convert to fraction form
    7,189/8,773 = 8,773/x
  3. Step 3: Cross multiply
    7,189x = 8,773 × 8,773
  4. Step 4: Simplify right side
    7,189x = 76,965,529
  5. Step 5: Solve for x
    x = 76,965,529/7,189
  6. Step 6: Final answer
    x = 10,706.01

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.