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Finding the Third Proportional to 50,014 and 70,340

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Solution

The third proportional to 50,014 and 70,340 is: 98,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,014 : 70,340 = 70,340 : x
  2. Step 2: Convert to fraction form
    50,014/70,340 = 70,340/x
  3. Step 3: Cross multiply
    50,014x = 70,340 × 70,340
  4. Step 4: Simplify right side
    50,014x = 4,947,715,600
  5. Step 5: Solve for x
    x = 4,947,715,600/50,014
  6. Step 6: Final answer
    x = 98,926.61

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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.