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Finding the Third Proportional to 11,455 and 16,773

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Solution

The third proportional to 11,455 and 16,773 is: 24,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455 : 16,773 = 16,773 : x
  2. Step 2: Convert to fraction form
    11,455/16,773 = 16,773/x
  3. Step 3: Cross multiply
    11,455x = 16,773 × 16,773
  4. Step 4: Simplify right side
    11,455x = 281,333,529
  5. Step 5: Solve for x
    x = 281,333,529/11,455
  6. Step 6: Final answer
    x = 24,559.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.