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Finding the Third Proportional to 33,507 and 51,917

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Solution

The third proportional to 33,507 and 51,917 is: 80,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507 : 51,917 = 51,917 : x
  2. Step 2: Convert to fraction form
    33,507/51,917 = 51,917/x
  3. Step 3: Cross multiply
    33,507x = 51,917 × 51,917
  4. Step 4: Simplify right side
    33,507x = 2,695,374,889
  5. Step 5: Solve for x
    x = 2,695,374,889/33,507
  6. Step 6: Final answer
    x = 80,442.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.