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Finding the Third Proportional to 50,951 and 77,480

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Solution

The third proportional to 50,951 and 77,480 is: 117,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,951 : 77,480 = 77,480 : x
  2. Step 2: Convert to fraction form
    50,951/77,480 = 77,480/x
  3. Step 3: Cross multiply
    50,951x = 77,480 × 77,480
  4. Step 4: Simplify right side
    50,951x = 6,003,150,400
  5. Step 5: Solve for x
    x = 6,003,150,400/50,951
  6. Step 6: Final answer
    x = 117,822.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.