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Finding the Third Proportional to 15,324.75 and 32,204.25

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Solution

The third proportional to 15,324.75 and 32,204.25 is: 67,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.75 : 32,204.25 = 32,204.25 : x
  2. Step 2: Convert to fraction form
    15,324.75/32,204.25 = 32,204.25/x
  3. Step 3: Cross multiply
    15,324.75x = 32,204.25 × 32,204.25
  4. Step 4: Simplify right side
    15,324.75x = 1,037,113,718.06
  5. Step 5: Solve for x
    x = 1,037,113,718.06/15,324.75
  6. Step 6: Final answer
    x = 67,675.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.