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Finding the Third Proportional to 7,001 and 10,773

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Solution

The third proportional to 7,001 and 10,773 is: 16,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001 : 10,773 = 10,773 : x
  2. Step 2: Convert to fraction form
    7,001/10,773 = 10,773/x
  3. Step 3: Cross multiply
    7,001x = 10,773 × 10,773
  4. Step 4: Simplify right side
    7,001x = 116,057,529
  5. Step 5: Solve for x
    x = 116,057,529/7,001
  6. Step 6: Final answer
    x = 16,577.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.