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Finding the Third Proportional to 15,652 and 20,319

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Solution

The third proportional to 15,652 and 20,319 is: 26,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652 : 20,319 = 20,319 : x
  2. Step 2: Convert to fraction form
    15,652/20,319 = 20,319/x
  3. Step 3: Cross multiply
    15,652x = 20,319 × 20,319
  4. Step 4: Simplify right side
    15,652x = 412,861,761
  5. Step 5: Solve for x
    x = 412,861,761/15,652
  6. Step 6: Final answer
    x = 26,377.57

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.