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Finding the Third Proportional to 33,277.50 and 54,938.25

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Solution

The third proportional to 33,277.50 and 54,938.25 is: 90,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277.50 : 54,938.25 = 54,938.25 : x
  2. Step 2: Convert to fraction form
    33,277.50/54,938.25 = 54,938.25/x
  3. Step 3: Cross multiply
    33,277.50x = 54,938.25 × 54,938.25
  4. Step 4: Simplify right side
    33,277.50x = 3,018,211,313.06
  5. Step 5: Solve for x
    x = 3,018,211,313.06/33,277.50
  6. Step 6: Final answer
    x = 90,698.26

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.