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Finding the Third Proportional to 17,307 and 30,600

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Solution

The third proportional to 17,307 and 30,600 is: 54,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307 : 30,600 = 30,600 : x
  2. Step 2: Convert to fraction form
    17,307/30,600 = 30,600/x
  3. Step 3: Cross multiply
    17,307x = 30,600 × 30,600
  4. Step 4: Simplify right side
    17,307x = 936,360,000
  5. Step 5: Solve for x
    x = 936,360,000/17,307
  6. Step 6: Final answer
    x = 54,102.96

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.