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Finding the Third Proportional to 21,280 and 43,168

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Solution

The third proportional to 21,280 and 43,168 is: 87,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,280 : 43,168 = 43,168 : x
  2. Step 2: Convert to fraction form
    21,280/43,168 = 43,168/x
  3. Step 3: Cross multiply
    21,280x = 43,168 × 43,168
  4. Step 4: Simplify right side
    21,280x = 1,863,476,224
  5. Step 5: Solve for x
    x = 1,863,476,224/21,280
  6. Step 6: Final answer
    x = 87,569.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.