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Finding the Third Proportional to 49,913.25 and 75,390

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Solution

The third proportional to 49,913.25 and 75,390 is: 113,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,913.25 : 75,390 = 75,390 : x
  2. Step 2: Convert to fraction form
    49,913.25/75,390 = 75,390/x
  3. Step 3: Cross multiply
    49,913.25x = 75,390 × 75,390
  4. Step 4: Simplify right side
    49,913.25x = 5,683,652,100
  5. Step 5: Solve for x
    x = 5,683,652,100/49,913.25
  6. Step 6: Final answer
    x = 113,870.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.