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Finding the Third Proportional to 13,650 and 20,424

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Solution

The third proportional to 13,650 and 20,424 is: 30,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650 : 20,424 = 20,424 : x
  2. Step 2: Convert to fraction form
    13,650/20,424 = 20,424/x
  3. Step 3: Cross multiply
    13,650x = 20,424 × 20,424
  4. Step 4: Simplify right side
    13,650x = 417,139,776
  5. Step 5: Solve for x
    x = 417,139,776/13,650
  6. Step 6: Final answer
    x = 30,559.69

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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.