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Finding the Third Proportional to 33,657 and 48,918.50

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Solution

The third proportional to 33,657 and 48,918.50 is: 71,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,657 : 48,918.50 = 48,918.50 : x
  2. Step 2: Convert to fraction form
    33,657/48,918.50 = 48,918.50/x
  3. Step 3: Cross multiply
    33,657x = 48,918.50 × 48,918.50
  4. Step 4: Simplify right side
    33,657x = 2,393,019,642.25
  5. Step 5: Solve for x
    x = 2,393,019,642.25/33,657
  6. Step 6: Final answer
    x = 71,100.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.