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Finding the Third Proportional to 7,954 and 11,688

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Solution

The third proportional to 7,954 and 11,688 is: 17,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954 : 11,688 = 11,688 : x
  2. Step 2: Convert to fraction form
    7,954/11,688 = 11,688/x
  3. Step 3: Cross multiply
    7,954x = 11,688 × 11,688
  4. Step 4: Simplify right side
    7,954x = 136,609,344
  5. Step 5: Solve for x
    x = 136,609,344/7,954
  6. Step 6: Final answer
    x = 17,174.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.