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Finding the Third Proportional to 38,167.25 and 44,363.75

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Solution

The third proportional to 38,167.25 and 44,363.75 is: 51,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,167.25 : 44,363.75 = 44,363.75 : x
  2. Step 2: Convert to fraction form
    38,167.25/44,363.75 = 44,363.75/x
  3. Step 3: Cross multiply
    38,167.25x = 44,363.75 × 44,363.75
  4. Step 4: Simplify right side
    38,167.25x = 1,968,142,314.06
  5. Step 5: Solve for x
    x = 1,968,142,314.06/38,167.25
  6. Step 6: Final answer
    x = 51,566.26

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.