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Finding the Third Proportional to 34,766 and 52,313

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Solution

The third proportional to 34,766 and 52,313 is: 78,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766 : 52,313 = 52,313 : x
  2. Step 2: Convert to fraction form
    34,766/52,313 = 52,313/x
  3. Step 3: Cross multiply
    34,766x = 52,313 × 52,313
  4. Step 4: Simplify right side
    34,766x = 2,736,649,969
  5. Step 5: Solve for x
    x = 2,736,649,969/34,766
  6. Step 6: Final answer
    x = 78,716.27

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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.