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Finding the Third Proportional to 34,272 and 51,984

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Solution

The third proportional to 34,272 and 51,984 is: 78,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,272 : 51,984 = 51,984 : x
  2. Step 2: Convert to fraction form
    34,272/51,984 = 51,984/x
  3. Step 3: Cross multiply
    34,272x = 51,984 × 51,984
  4. Step 4: Simplify right side
    34,272x = 2,702,336,256
  5. Step 5: Solve for x
    x = 2,702,336,256/34,272
  6. Step 6: Final answer
    x = 78,849.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.