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Finding the Third Proportional to 12,224 and 23,476

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Solution

The third proportional to 12,224 and 23,476 is: 45,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 23,476 = 23,476 : x
  2. Step 2: Convert to fraction form
    12,224/23,476 = 23,476/x
  3. Step 3: Cross multiply
    12,224x = 23,476 × 23,476
  4. Step 4: Simplify right side
    12,224x = 551,122,576
  5. Step 5: Solve for x
    x = 551,122,576/12,224
  6. Step 6: Final answer
    x = 45,085.29

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.