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Finding the Third Proportional to 14,218 and 33,053

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Solution

The third proportional to 14,218 and 33,053 is: 76,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218 : 33,053 = 33,053 : x
  2. Step 2: Convert to fraction form
    14,218/33,053 = 33,053/x
  3. Step 3: Cross multiply
    14,218x = 33,053 × 33,053
  4. Step 4: Simplify right side
    14,218x = 1,092,500,809
  5. Step 5: Solve for x
    x = 1,092,500,809/14,218
  6. Step 6: Final answer
    x = 76,839.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.