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Finding the Third Proportional to 33,477.75 and 45,905.25

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Solution

The third proportional to 33,477.75 and 45,905.25 is: 62,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,477.75 : 45,905.25 = 45,905.25 : x
  2. Step 2: Convert to fraction form
    33,477.75/45,905.25 = 45,905.25/x
  3. Step 3: Cross multiply
    33,477.75x = 45,905.25 × 45,905.25
  4. Step 4: Simplify right side
    33,477.75x = 2,107,291,977.56
  5. Step 5: Solve for x
    x = 2,107,291,977.56/33,477.75
  6. Step 6: Final answer
    x = 62,946.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.