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Finding the Third Proportional to 34,420 and 52,620

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Solution

The third proportional to 34,420 and 52,620 is: 80,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,420 : 52,620 = 52,620 : x
  2. Step 2: Convert to fraction form
    34,420/52,620 = 52,620/x
  3. Step 3: Cross multiply
    34,420x = 52,620 × 52,620
  4. Step 4: Simplify right side
    34,420x = 2,768,864,400
  5. Step 5: Solve for x
    x = 2,768,864,400/34,420
  6. Step 6: Final answer
    x = 80,443.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.