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Finding the Third Proportional to 17,672 and 28,300

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Solution

The third proportional to 17,672 and 28,300 is: 45,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672 : 28,300 = 28,300 : x
  2. Step 2: Convert to fraction form
    17,672/28,300 = 28,300/x
  3. Step 3: Cross multiply
    17,672x = 28,300 × 28,300
  4. Step 4: Simplify right side
    17,672x = 800,890,000
  5. Step 5: Solve for x
    x = 800,890,000/17,672
  6. Step 6: Final answer
    x = 45,319.71

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.