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Finding the Third Proportional to 46,769 and 68,495

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Solution

The third proportional to 46,769 and 68,495 is: 100,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769 : 68,495 = 68,495 : x
  2. Step 2: Convert to fraction form
    46,769/68,495 = 68,495/x
  3. Step 3: Cross multiply
    46,769x = 68,495 × 68,495
  4. Step 4: Simplify right side
    46,769x = 4,691,565,025
  5. Step 5: Solve for x
    x = 4,691,565,025/46,769
  6. Step 6: Final answer
    x = 100,313.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.