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Finding the Third Proportional to 50,015.25 and 70,344

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Solution

The third proportional to 50,015.25 and 70,344 is: 98,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,015.25 : 70,344 = 70,344 : x
  2. Step 2: Convert to fraction form
    50,015.25/70,344 = 70,344/x
  3. Step 3: Cross multiply
    50,015.25x = 70,344 × 70,344
  4. Step 4: Simplify right side
    50,015.25x = 4,948,278,336
  5. Step 5: Solve for x
    x = 4,948,278,336/50,015.25
  6. Step 6: Final answer
    x = 98,935.39

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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.