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Finding the Third Proportional to 33,638.63 and 52,775.72

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Solution

The third proportional to 33,638.63 and 52,775.72 is: 82,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.63 : 52,775.72 = 52,775.72 : x
  2. Step 2: Convert to fraction form
    33,638.63/52,775.72 = 52,775.72/x
  3. Step 3: Cross multiply
    33,638.63x = 52,775.72 × 52,775.72
  4. Step 4: Simplify right side
    33,638.63x = 2,785,276,489.58
  5. Step 5: Solve for x
    x = 2,785,276,489.58/33,638.63
  6. Step 6: Final answer
    x = 82,799.95

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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.