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Finding the Third Proportional to 50,597.16 and 75,622.36

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Solution

The third proportional to 50,597.16 and 75,622.36 is: 113,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,597.16 : 75,622.36 = 75,622.36 : x
  2. Step 2: Convert to fraction form
    50,597.16/75,622.36 = 75,622.36/x
  3. Step 3: Cross multiply
    50,597.16x = 75,622.36 × 75,622.36
  4. Step 4: Simplify right side
    50,597.16x = 5,718,741,237.44
  5. Step 5: Solve for x
    x = 5,718,741,237.44/50,597.16
  6. Step 6: Final answer
    x = 113,024.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.