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Finding the Third Proportional to 7,045 and 10,993

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Solution

The third proportional to 7,045 and 10,993 is: 17,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045 : 10,993 = 10,993 : x
  2. Step 2: Convert to fraction form
    7,045/10,993 = 10,993/x
  3. Step 3: Cross multiply
    7,045x = 10,993 × 10,993
  4. Step 4: Simplify right side
    7,045x = 120,846,049
  5. Step 5: Solve for x
    x = 120,846,049/7,045
  6. Step 6: Final answer
    x = 17,153.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.