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Finding the Third Proportional to 50,004 and 70,328

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Solution

The third proportional to 50,004 and 70,328 is: 98,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,004 : 70,328 = 70,328 : x
  2. Step 2: Convert to fraction form
    50,004/70,328 = 70,328/x
  3. Step 3: Cross multiply
    50,004x = 70,328 × 70,328
  4. Step 4: Simplify right side
    50,004x = 4,946,027,584
  5. Step 5: Solve for x
    x = 4,946,027,584/50,004
  6. Step 6: Final answer
    x = 98,912.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.