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Finding the Third Proportional to 7,458.75 and 15,942.94

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Solution

The third proportional to 7,458.75 and 15,942.94 is: 34,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.75 : 15,942.94 = 15,942.94 : x
  2. Step 2: Convert to fraction form
    7,458.75/15,942.94 = 15,942.94/x
  3. Step 3: Cross multiply
    7,458.75x = 15,942.94 × 15,942.94
  4. Step 4: Simplify right side
    7,458.75x = 254,177,256.13
  5. Step 5: Solve for x
    x = 254,177,256.13/7,458.75
  6. Step 6: Final answer
    x = 34,077.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.