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Finding the Third Proportional to 35,100 and 50,415.75

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Solution

The third proportional to 35,100 and 50,415.75 is: 72,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,100 : 50,415.75 = 50,415.75 : x
  2. Step 2: Convert to fraction form
    35,100/50,415.75 = 50,415.75/x
  3. Step 3: Cross multiply
    35,100x = 50,415.75 × 50,415.75
  4. Step 4: Simplify right side
    35,100x = 2,541,747,848.06
  5. Step 5: Solve for x
    x = 2,541,747,848.06/35,100
  6. Step 6: Final answer
    x = 72,414.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.