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Finding the Third Proportional to 34,078 and 51,732

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Solution

The third proportional to 34,078 and 51,732 is: 78,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078 : 51,732 = 51,732 : x
  2. Step 2: Convert to fraction form
    34,078/51,732 = 51,732/x
  3. Step 3: Cross multiply
    34,078x = 51,732 × 51,732
  4. Step 4: Simplify right side
    34,078x = 2,676,199,824
  5. Step 5: Solve for x
    x = 2,676,199,824/34,078
  6. Step 6: Final answer
    x = 78,531.60

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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.