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Finding the Third Proportional to 14,498 and 33,433

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Solution

The third proportional to 14,498 and 33,433 is: 77,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498 : 33,433 = 33,433 : x
  2. Step 2: Convert to fraction form
    14,498/33,433 = 33,433/x
  3. Step 3: Cross multiply
    14,498x = 33,433 × 33,433
  4. Step 4: Simplify right side
    14,498x = 1,117,765,489
  5. Step 5: Solve for x
    x = 1,117,765,489/14,498
  6. Step 6: Final answer
    x = 77,097.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.