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Finding the Third Proportional to 55,950.75 and 75,033.84

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Solution

The third proportional to 55,950.75 and 75,033.84 is: 100,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,950.75 : 75,033.84 = 75,033.84 : x
  2. Step 2: Convert to fraction form
    55,950.75/75,033.84 = 75,033.84/x
  3. Step 3: Cross multiply
    55,950.75x = 75,033.84 × 75,033.84
  4. Step 4: Simplify right side
    55,950.75x = 5,630,077,707.90
  5. Step 5: Solve for x
    x = 5,630,077,707.90/55,950.75
  6. Step 6: Final answer
    x = 100,625.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.