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Finding the Third Proportional to 13,740 and 20,670

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Solution

The third proportional to 13,740 and 20,670 is: 31,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 20,670 = 20,670 : x
  2. Step 2: Convert to fraction form
    13,740/20,670 = 20,670/x
  3. Step 3: Cross multiply
    13,740x = 20,670 × 20,670
  4. Step 4: Simplify right side
    13,740x = 427,248,900
  5. Step 5: Solve for x
    x = 427,248,900/13,740
  6. Step 6: Final answer
    x = 31,095.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.