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Finding the Third Proportional to 50,340 and 70,552

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Solution

The third proportional to 50,340 and 70,552 is: 98,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,340 : 70,552 = 70,552 : x
  2. Step 2: Convert to fraction form
    50,340/70,552 = 70,552/x
  3. Step 3: Cross multiply
    50,340x = 70,552 × 70,552
  4. Step 4: Simplify right side
    50,340x = 4,977,584,704
  5. Step 5: Solve for x
    x = 4,977,584,704/50,340
  6. Step 6: Final answer
    x = 98,879.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.