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Finding the Third Proportional to 33,656.25 and 52,801.50

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Solution

The third proportional to 33,656.25 and 52,801.50 is: 82,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656.25 : 52,801.50 = 52,801.50 : x
  2. Step 2: Convert to fraction form
    33,656.25/52,801.50 = 52,801.50/x
  3. Step 3: Cross multiply
    33,656.25x = 52,801.50 × 52,801.50
  4. Step 4: Simplify right side
    33,656.25x = 2,787,998,402.25
  5. Step 5: Solve for x
    x = 2,787,998,402.25/33,656.25
  6. Step 6: Final answer
    x = 82,837.46

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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.