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Finding the Third Proportional to 34,000 and 52,516

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Solution

The third proportional to 34,000 and 52,516 is: 81,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000 : 52,516 = 52,516 : x
  2. Step 2: Convert to fraction form
    34,000/52,516 = 52,516/x
  3. Step 3: Cross multiply
    34,000x = 52,516 × 52,516
  4. Step 4: Simplify right side
    34,000x = 2,757,930,256
  5. Step 5: Solve for x
    x = 2,757,930,256/34,000
  6. Step 6: Final answer
    x = 81,115.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.