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Finding the Third Proportional to 21,724 and 47,600

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Solution

The third proportional to 21,724 and 47,600 is: 104,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724 : 47,600 = 47,600 : x
  2. Step 2: Convert to fraction form
    21,724/47,600 = 47,600/x
  3. Step 3: Cross multiply
    21,724x = 47,600 × 47,600
  4. Step 4: Simplify right side
    21,724x = 2,265,760,000
  5. Step 5: Solve for x
    x = 2,265,760,000/21,724
  6. Step 6: Final answer
    x = 104,297.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.