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Finding the Third Proportional to 7,206 and 8,778

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Solution

The third proportional to 7,206 and 8,778 is: 10,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206 : 8,778 = 8,778 : x
  2. Step 2: Convert to fraction form
    7,206/8,778 = 8,778/x
  3. Step 3: Cross multiply
    7,206x = 8,778 × 8,778
  4. Step 4: Simplify right side
    7,206x = 77,053,284
  5. Step 5: Solve for x
    x = 77,053,284/7,206
  6. Step 6: Final answer
    x = 10,692.93

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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.