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Finding the Third Proportional to 7,608 and 13,740

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Solution

The third proportional to 7,608 and 13,740 is: 24,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608 : 13,740 = 13,740 : x
  2. Step 2: Convert to fraction form
    7,608/13,740 = 13,740/x
  3. Step 3: Cross multiply
    7,608x = 13,740 × 13,740
  4. Step 4: Simplify right side
    7,608x = 188,787,600
  5. Step 5: Solve for x
    x = 188,787,600/7,608
  6. Step 6: Final answer
    x = 24,814.35

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.