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Finding the Third Proportional to 33,783.19 and 52,995.09

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Solution

The third proportional to 33,783.19 and 52,995.09 is: 83,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.19 : 52,995.09 = 52,995.09 : x
  2. Step 2: Convert to fraction form
    33,783.19/52,995.09 = 52,995.09/x
  3. Step 3: Cross multiply
    33,783.19x = 52,995.09 × 52,995.09
  4. Step 4: Simplify right side
    33,783.19x = 2,808,479,961.57
  5. Step 5: Solve for x
    x = 2,808,479,961.57/33,783.19
  6. Step 6: Final answer
    x = 83,132.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.