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Finding the Third Proportional to 34,260 and 52,596

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Solution

The third proportional to 34,260 and 52,596 is: 80,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,260 : 52,596 = 52,596 : x
  2. Step 2: Convert to fraction form
    34,260/52,596 = 52,596/x
  3. Step 3: Cross multiply
    34,260x = 52,596 × 52,596
  4. Step 4: Simplify right side
    34,260x = 2,766,339,216
  5. Step 5: Solve for x
    x = 2,766,339,216/34,260
  6. Step 6: Final answer
    x = 80,745.45

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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.