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Finding the Third Proportional to 38,547.25 and 44,083.25

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Solution

The third proportional to 38,547.25 and 44,083.25 is: 50,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,547.25 : 44,083.25 = 44,083.25 : x
  2. Step 2: Convert to fraction form
    38,547.25/44,083.25 = 44,083.25/x
  3. Step 3: Cross multiply
    38,547.25x = 44,083.25 × 44,083.25
  4. Step 4: Simplify right side
    38,547.25x = 1,943,332,930.56
  5. Step 5: Solve for x
    x = 1,943,332,930.56/38,547.25
  6. Step 6: Final answer
    x = 50,414.31

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.