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Finding the Third Proportional to 23,718 and 35,515

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Solution

The third proportional to 23,718 and 35,515 is: 53,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718 : 35,515 = 35,515 : x
  2. Step 2: Convert to fraction form
    23,718/35,515 = 35,515/x
  3. Step 3: Cross multiply
    23,718x = 35,515 × 35,515
  4. Step 4: Simplify right side
    23,718x = 1,261,315,225
  5. Step 5: Solve for x
    x = 1,261,315,225/23,718
  6. Step 6: Final answer
    x = 53,179.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.