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Finding the Third Proportional to 41,954.25 and 64,815.75

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Solution

The third proportional to 41,954.25 and 64,815.75 is: 100,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,954.25 : 64,815.75 = 64,815.75 : x
  2. Step 2: Convert to fraction form
    41,954.25/64,815.75 = 64,815.75/x
  3. Step 3: Cross multiply
    41,954.25x = 64,815.75 × 64,815.75
  4. Step 4: Simplify right side
    41,954.25x = 4,201,081,448.06
  5. Step 5: Solve for x
    x = 4,201,081,448.06/41,954.25
  6. Step 6: Final answer
    x = 100,134.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.