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Finding the Third Proportional to 13,740 and 25,500

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Solution

The third proportional to 13,740 and 25,500 is: 47,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 25,500 = 25,500 : x
  2. Step 2: Convert to fraction form
    13,740/25,500 = 25,500/x
  3. Step 3: Cross multiply
    13,740x = 25,500 × 25,500
  4. Step 4: Simplify right side
    13,740x = 650,250,000
  5. Step 5: Solve for x
    x = 650,250,000/13,740
  6. Step 6: Final answer
    x = 47,325.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.