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Finding the Third Proportional to 30,498 and 36,039

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Solution

The third proportional to 30,498 and 36,039 is: 42,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498 : 36,039 = 36,039 : x
  2. Step 2: Convert to fraction form
    30,498/36,039 = 36,039/x
  3. Step 3: Cross multiply
    30,498x = 36,039 × 36,039
  4. Step 4: Simplify right side
    30,498x = 1,298,809,521
  5. Step 5: Solve for x
    x = 1,298,809,521/30,498
  6. Step 6: Final answer
    x = 42,586.71

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.