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Finding the Third Proportional to 34,284 and 51,792

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Solution

The third proportional to 34,284 and 51,792 is: 78,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284 : 51,792 = 51,792 : x
  2. Step 2: Convert to fraction form
    34,284/51,792 = 51,792/x
  3. Step 3: Cross multiply
    34,284x = 51,792 × 51,792
  4. Step 4: Simplify right side
    34,284x = 2,682,411,264
  5. Step 5: Solve for x
    x = 2,682,411,264/34,284
  6. Step 6: Final answer
    x = 78,240.91

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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.