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Finding the Third Proportional to 44,382 and 96,954

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Solution

The third proportional to 44,382 and 96,954 is: 211,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,382 : 96,954 = 96,954 : x
  2. Step 2: Convert to fraction form
    44,382/96,954 = 96,954/x
  3. Step 3: Cross multiply
    44,382x = 96,954 × 96,954
  4. Step 4: Simplify right side
    44,382x = 9,400,078,116
  5. Step 5: Solve for x
    x = 9,400,078,116/44,382
  6. Step 6: Final answer
    x = 211,799.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.