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Finding the Third Proportional to 30,738 and 62,603

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Solution

The third proportional to 30,738 and 62,603 is: 127,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738 : 62,603 = 62,603 : x
  2. Step 2: Convert to fraction form
    30,738/62,603 = 62,603/x
  3. Step 3: Cross multiply
    30,738x = 62,603 × 62,603
  4. Step 4: Simplify right side
    30,738x = 3,919,135,609
  5. Step 5: Solve for x
    x = 3,919,135,609/30,738
  6. Step 6: Final answer
    x = 127,501.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.