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Finding the Third Proportional to 32,876.44 and 71,903.53

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Solution

The third proportional to 32,876.44 and 71,903.53 is: 157,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876.44 : 71,903.53 = 71,903.53 : x
  2. Step 2: Convert to fraction form
    32,876.44/71,903.53 = 71,903.53/x
  3. Step 3: Cross multiply
    32,876.44x = 71,903.53 × 71,903.53
  4. Step 4: Simplify right side
    32,876.44x = 5,170,117,806.22
  5. Step 5: Solve for x
    x = 5,170,117,806.22/32,876.44
  6. Step 6: Final answer
    x = 157,259.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.