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Finding the Third Proportional to 30,584.25 and 62,029.13

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Solution

The third proportional to 30,584.25 and 62,029.13 is: 125,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.25 : 62,029.13 = 62,029.13 : x
  2. Step 2: Convert to fraction form
    30,584.25/62,029.13 = 62,029.13/x
  3. Step 3: Cross multiply
    30,584.25x = 62,029.13 × 62,029.13
  4. Step 4: Simplify right side
    30,584.25x = 3,847,612,348.27
  5. Step 5: Solve for x
    x = 3,847,612,348.27/30,584.25
  6. Step 6: Final answer
    x = 125,803.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.