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Finding the Third Proportional to 34,836 and 52,416

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Solution

The third proportional to 34,836 and 52,416 is: 78,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,836 : 52,416 = 52,416 : x
  2. Step 2: Convert to fraction form
    34,836/52,416 = 52,416/x
  3. Step 3: Cross multiply
    34,836x = 52,416 × 52,416
  4. Step 4: Simplify right side
    34,836x = 2,747,437,056
  5. Step 5: Solve for x
    x = 2,747,437,056/34,836
  6. Step 6: Final answer
    x = 78,867.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.