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Finding the Third Proportional to 47,954.85 and 75,230.33

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Solution

The third proportional to 47,954.85 and 75,230.33 is: 118,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.85 : 75,230.33 = 75,230.33 : x
  2. Step 2: Convert to fraction form
    47,954.85/75,230.33 = 75,230.33/x
  3. Step 3: Cross multiply
    47,954.85x = 75,230.33 × 75,230.33
  4. Step 4: Simplify right side
    47,954.85x = 5,659,602,857.53
  5. Step 5: Solve for x
    x = 5,659,602,857.53/47,954.85
  6. Step 6: Final answer
    x = 118,019.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.