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Finding the Third Proportional to 33,535.94 and 46,999.97

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Solution

The third proportional to 33,535.94 and 46,999.97 is: 65,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,535.94 : 46,999.97 = 46,999.97 : x
  2. Step 2: Convert to fraction form
    33,535.94/46,999.97 = 46,999.97/x
  3. Step 3: Cross multiply
    33,535.94x = 46,999.97 × 46,999.97
  4. Step 4: Simplify right side
    33,535.94x = 2,208,997,062.50
  5. Step 5: Solve for x
    x = 2,208,997,062.50/33,535.94
  6. Step 6: Final answer
    x = 65,869.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.