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Finding the Third Proportional to 44,813.25 and 69,945.75

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Solution

The third proportional to 44,813.25 and 69,945.75 is: 109,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,813.25 : 69,945.75 = 69,945.75 : x
  2. Step 2: Convert to fraction form
    44,813.25/69,945.75 = 69,945.75/x
  3. Step 3: Cross multiply
    44,813.25x = 69,945.75 × 69,945.75
  4. Step 4: Simplify right side
    44,813.25x = 4,892,407,943.06
  5. Step 5: Solve for x
    x = 4,892,407,943.06/44,813.25
  6. Step 6: Final answer
    x = 109,173.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.