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Finding the Third Proportional to 20,256 and 47,056

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Solution

The third proportional to 20,256 and 47,056 is: 109,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,256 : 47,056 = 47,056 : x
  2. Step 2: Convert to fraction form
    20,256/47,056 = 47,056/x
  3. Step 3: Cross multiply
    20,256x = 47,056 × 47,056
  4. Step 4: Simplify right side
    20,256x = 2,214,267,136
  5. Step 5: Solve for x
    x = 2,214,267,136/20,256
  6. Step 6: Final answer
    x = 109,314.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.