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Finding the Third Proportional to 46,009 and 61,825

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Solution

The third proportional to 46,009 and 61,825 is: 83,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,009 : 61,825 = 61,825 : x
  2. Step 2: Convert to fraction form
    46,009/61,825 = 61,825/x
  3. Step 3: Cross multiply
    46,009x = 61,825 × 61,825
  4. Step 4: Simplify right side
    46,009x = 3,822,330,625
  5. Step 5: Solve for x
    x = 3,822,330,625/46,009
  6. Step 6: Final answer
    x = 83,077.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.