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Finding the Third Proportional to 10,221 and 18,984

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Solution

The third proportional to 10,221 and 18,984 is: 35,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221 : 18,984 = 18,984 : x
  2. Step 2: Convert to fraction form
    10,221/18,984 = 18,984/x
  3. Step 3: Cross multiply
    10,221x = 18,984 × 18,984
  4. Step 4: Simplify right side
    10,221x = 360,392,256
  5. Step 5: Solve for x
    x = 360,392,256/10,221
  6. Step 6: Final answer
    x = 35,259.98

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.