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Finding the Third Proportional to 17,181.50 and 25,157

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Solution

The third proportional to 17,181.50 and 25,157 is: 36,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.50 : 25,157 = 25,157 : x
  2. Step 2: Convert to fraction form
    17,181.50/25,157 = 25,157/x
  3. Step 3: Cross multiply
    17,181.50x = 25,157 × 25,157
  4. Step 4: Simplify right side
    17,181.50x = 632,874,649
  5. Step 5: Solve for x
    x = 632,874,649/17,181.50
  6. Step 6: Final answer
    x = 36,834.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.