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Finding the Third Proportional to 14,922 and 33,002

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Solution

The third proportional to 14,922 and 33,002 is: 72,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922 : 33,002 = 33,002 : x
  2. Step 2: Convert to fraction form
    14,922/33,002 = 33,002/x
  3. Step 3: Cross multiply
    14,922x = 33,002 × 33,002
  4. Step 4: Simplify right side
    14,922x = 1,089,132,004
  5. Step 5: Solve for x
    x = 1,089,132,004/14,922
  6. Step 6: Final answer
    x = 72,988.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.