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Finding the Third Proportional to 35,783 and 53,917

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Solution

The third proportional to 35,783 and 53,917 is: 81,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783 : 53,917 = 53,917 : x
  2. Step 2: Convert to fraction form
    35,783/53,917 = 53,917/x
  3. Step 3: Cross multiply
    35,783x = 53,917 × 53,917
  4. Step 4: Simplify right side
    35,783x = 2,907,042,889
  5. Step 5: Solve for x
    x = 2,907,042,889/35,783
  6. Step 6: Final answer
    x = 81,240.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.