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Finding the Third Proportional to 10,500 and 21,308

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Solution

The third proportional to 10,500 and 21,308 is: 43,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500 : 21,308 = 21,308 : x
  2. Step 2: Convert to fraction form
    10,500/21,308 = 21,308/x
  3. Step 3: Cross multiply
    10,500x = 21,308 × 21,308
  4. Step 4: Simplify right side
    10,500x = 454,030,864
  5. Step 5: Solve for x
    x = 454,030,864/10,500
  6. Step 6: Final answer
    x = 43,241.03

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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.