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Finding the Third Proportional to 30,503.75 and 62,494

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Solution

The third proportional to 30,503.75 and 62,494 is: 128,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503.75 : 62,494 = 62,494 : x
  2. Step 2: Convert to fraction form
    30,503.75/62,494 = 62,494/x
  3. Step 3: Cross multiply
    30,503.75x = 62,494 × 62,494
  4. Step 4: Simplify right side
    30,503.75x = 3,905,500,036
  5. Step 5: Solve for x
    x = 3,905,500,036/30,503.75
  6. Step 6: Final answer
    x = 128,033.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.