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Finding the Third Proportional to 33,637.50 and 43,672.50

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Solution

The third proportional to 33,637.50 and 43,672.50 is: 56,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,637.50 : 43,672.50 = 43,672.50 : x
  2. Step 2: Convert to fraction form
    33,637.50/43,672.50 = 43,672.50/x
  3. Step 3: Cross multiply
    33,637.50x = 43,672.50 × 43,672.50
  4. Step 4: Simplify right side
    33,637.50x = 1,907,287,256.25
  5. Step 5: Solve for x
    x = 1,907,287,256.25/33,637.50
  6. Step 6: Final answer
    x = 56,701.22

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.