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Finding the Third Proportional to 30,660 and 62,610

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Solution

The third proportional to 30,660 and 62,610 is: 127,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,660 : 62,610 = 62,610 : x
  2. Step 2: Convert to fraction form
    30,660/62,610 = 62,610/x
  3. Step 3: Cross multiply
    30,660x = 62,610 × 62,610
  4. Step 4: Simplify right side
    30,660x = 3,920,012,100
  5. Step 5: Solve for x
    x = 3,920,012,100/30,660
  6. Step 6: Final answer
    x = 127,854.28

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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.