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Finding the Third Proportional to 7,773 and 16,773

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Solution

The third proportional to 7,773 and 16,773 is: 36,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773 : 16,773 = 16,773 : x
  2. Step 2: Convert to fraction form
    7,773/16,773 = 16,773/x
  3. Step 3: Cross multiply
    7,773x = 16,773 × 16,773
  4. Step 4: Simplify right side
    7,773x = 281,333,529
  5. Step 5: Solve for x
    x = 281,333,529/7,773
  6. Step 6: Final answer
    x = 36,193.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.