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Finding the Third Proportional to 7,005 and 10,608

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Solution

The third proportional to 7,005 and 10,608 is: 16,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005 : 10,608 = 10,608 : x
  2. Step 2: Convert to fraction form
    7,005/10,608 = 10,608/x
  3. Step 3: Cross multiply
    7,005x = 10,608 × 10,608
  4. Step 4: Simplify right side
    7,005x = 112,529,664
  5. Step 5: Solve for x
    x = 112,529,664/7,005
  6. Step 6: Final answer
    x = 16,064.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.