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Finding the Third Proportional to 50,822 and 74,388

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Solution

The third proportional to 50,822 and 74,388 is: 108,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,822 : 74,388 = 74,388 : x
  2. Step 2: Convert to fraction form
    50,822/74,388 = 74,388/x
  3. Step 3: Cross multiply
    50,822x = 74,388 × 74,388
  4. Step 4: Simplify right side
    50,822x = 5,533,574,544
  5. Step 5: Solve for x
    x = 5,533,574,544/50,822
  6. Step 6: Final answer
    x = 108,881.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.