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Finding the Third Proportional to 7,440.75 and 11,775.94

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Solution

The third proportional to 7,440.75 and 11,775.94 is: 18,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.75 : 11,775.94 = 11,775.94 : x
  2. Step 2: Convert to fraction form
    7,440.75/11,775.94 = 11,775.94/x
  3. Step 3: Cross multiply
    7,440.75x = 11,775.94 × 11,775.94
  4. Step 4: Simplify right side
    7,440.75x = 138,672,704.00
  5. Step 5: Solve for x
    x = 138,672,704.00/7,440.75
  6. Step 6: Final answer
    x = 18,636.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.