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Finding the Third Proportional to 12,224 and 23,840

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Solution

The third proportional to 12,224 and 23,840 is: 46,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 23,840 = 23,840 : x
  2. Step 2: Convert to fraction form
    12,224/23,840 = 23,840/x
  3. Step 3: Cross multiply
    12,224x = 23,840 × 23,840
  4. Step 4: Simplify right side
    12,224x = 568,345,600
  5. Step 5: Solve for x
    x = 568,345,600/12,224
  6. Step 6: Final answer
    x = 46,494.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.