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Finding the Third Proportional to 16,609.50 and 25,734.38

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Solution

The third proportional to 16,609.50 and 25,734.38 is: 39,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609.50 : 25,734.38 = 25,734.38 : x
  2. Step 2: Convert to fraction form
    16,609.50/25,734.38 = 25,734.38/x
  3. Step 3: Cross multiply
    16,609.50x = 25,734.38 × 25,734.38
  4. Step 4: Simplify right side
    16,609.50x = 662,258,056.64
  5. Step 5: Solve for x
    x = 662,258,056.64/16,609.50
  6. Step 6: Final answer
    x = 39,872.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.