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Finding the Third Proportional to 14,190 and 33,143

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Solution

The third proportional to 14,190 and 33,143 is: 77,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190 : 33,143 = 33,143 : x
  2. Step 2: Convert to fraction form
    14,190/33,143 = 33,143/x
  3. Step 3: Cross multiply
    14,190x = 33,143 × 33,143
  4. Step 4: Simplify right side
    14,190x = 1,098,458,449
  5. Step 5: Solve for x
    x = 1,098,458,449/14,190
  6. Step 6: Final answer
    x = 77,410.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.