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Finding the Third Proportional to 46,469 and 61,063

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Solution

The third proportional to 46,469 and 61,063 is: 80,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469 : 61,063 = 61,063 : x
  2. Step 2: Convert to fraction form
    46,469/61,063 = 61,063/x
  3. Step 3: Cross multiply
    46,469x = 61,063 × 61,063
  4. Step 4: Simplify right side
    46,469x = 3,728,689,969
  5. Step 5: Solve for x
    x = 3,728,689,969/46,469
  6. Step 6: Final answer
    x = 80,240.37

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.