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Finding the Third Proportional to 7,262 and 10,608

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Solution

The third proportional to 7,262 and 10,608 is: 15,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262 : 10,608 = 10,608 : x
  2. Step 2: Convert to fraction form
    7,262/10,608 = 10,608/x
  3. Step 3: Cross multiply
    7,262x = 10,608 × 10,608
  4. Step 4: Simplify right side
    7,262x = 112,529,664
  5. Step 5: Solve for x
    x = 112,529,664/7,262
  6. Step 6: Final answer
    x = 15,495.68

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