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Finding the Third Proportional to 26,787.38 and 57,969

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Solution

The third proportional to 26,787.38 and 57,969 is: 125,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,787.38 : 57,969 = 57,969 : x
  2. Step 2: Convert to fraction form
    26,787.38/57,969 = 57,969/x
  3. Step 3: Cross multiply
    26,787.38x = 57,969 × 57,969
  4. Step 4: Simplify right side
    26,787.38x = 3,360,404,961
  5. Step 5: Solve for x
    x = 3,360,404,961/26,787.38
  6. Step 6: Final answer
    x = 125,447.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.