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Finding the Third Proportional to 46,469 and 73,848

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Solution

The third proportional to 46,469 and 73,848 is: 117,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469 : 73,848 = 73,848 : x
  2. Step 2: Convert to fraction form
    46,469/73,848 = 73,848/x
  3. Step 3: Cross multiply
    46,469x = 73,848 × 73,848
  4. Step 4: Simplify right side
    46,469x = 5,453,527,104
  5. Step 5: Solve for x
    x = 5,453,527,104/46,469
  6. Step 6: Final answer
    x = 117,358.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.