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Finding the Third Proportional to 34,287.75 and 51,431.63

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Solution

The third proportional to 34,287.75 and 51,431.63 is: 77,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,287.75 : 51,431.63 = 51,431.63 : x
  2. Step 2: Convert to fraction form
    34,287.75/51,431.63 = 51,431.63/x
  3. Step 3: Cross multiply
    34,287.75x = 51,431.63 × 51,431.63
  4. Step 4: Simplify right side
    34,287.75x = 2,645,212,050.14
  5. Step 5: Solve for x
    x = 2,645,212,050.14/34,287.75
  6. Step 6: Final answer
    x = 77,147.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.