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Finding the Third Proportional to 33,585.75 and 70,647.75

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Solution

The third proportional to 33,585.75 and 70,647.75 is: 148,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,585.75 : 70,647.75 = 70,647.75 : x
  2. Step 2: Convert to fraction form
    33,585.75/70,647.75 = 70,647.75/x
  3. Step 3: Cross multiply
    33,585.75x = 70,647.75 × 70,647.75
  4. Step 4: Simplify right side
    33,585.75x = 4,991,104,580.06
  5. Step 5: Solve for x
    x = 4,991,104,580.06/33,585.75
  6. Step 6: Final answer
    x = 148,607.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.