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Finding the Third Proportional to 16,498 and 35,957

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Solution

The third proportional to 16,498 and 35,957 is: 78,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498 : 35,957 = 35,957 : x
  2. Step 2: Convert to fraction form
    16,498/35,957 = 35,957/x
  3. Step 3: Cross multiply
    16,498x = 35,957 × 35,957
  4. Step 4: Simplify right side
    16,498x = 1,292,905,849
  5. Step 5: Solve for x
    x = 1,292,905,849/16,498
  6. Step 6: Final answer
    x = 78,367.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.