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Finding the Third Proportional to 34,284 and 51,791

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Solution

The third proportional to 34,284 and 51,791 is: 78,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284 : 51,791 = 51,791 : x
  2. Step 2: Convert to fraction form
    34,284/51,791 = 51,791/x
  3. Step 3: Cross multiply
    34,284x = 51,791 × 51,791
  4. Step 4: Simplify right side
    34,284x = 2,682,307,681
  5. Step 5: Solve for x
    x = 2,682,307,681/34,284
  6. Step 6: Final answer
    x = 78,237.89

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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.