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Finding the Third Proportional to 34,326 and 51,851

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Solution

The third proportional to 34,326 and 51,851 is: 78,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,326 : 51,851 = 51,851 : x
  2. Step 2: Convert to fraction form
    34,326/51,851 = 51,851/x
  3. Step 3: Cross multiply
    34,326x = 51,851 × 51,851
  4. Step 4: Simplify right side
    34,326x = 2,688,526,201
  5. Step 5: Solve for x
    x = 2,688,526,201/34,326
  6. Step 6: Final answer
    x = 78,323.32

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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.