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Finding the Third Proportional to 19,086.75 and 44,223.75

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Solution

The third proportional to 19,086.75 and 44,223.75 is: 102,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086.75 : 44,223.75 = 44,223.75 : x
  2. Step 2: Convert to fraction form
    19,086.75/44,223.75 = 44,223.75/x
  3. Step 3: Cross multiply
    19,086.75x = 44,223.75 × 44,223.75
  4. Step 4: Simplify right side
    19,086.75x = 1,955,740,064.06
  5. Step 5: Solve for x
    x = 1,955,740,064.06/19,086.75
  6. Step 6: Final answer
    x = 102,465.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.