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Finding the Third Proportional to 15,648 and 23,474

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Solution

The third proportional to 15,648 and 23,474 is: 35,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648 : 23,474 = 23,474 : x
  2. Step 2: Convert to fraction form
    15,648/23,474 = 23,474/x
  3. Step 3: Cross multiply
    15,648x = 23,474 × 23,474
  4. Step 4: Simplify right side
    15,648x = 551,028,676
  5. Step 5: Solve for x
    x = 551,028,676/15,648
  6. Step 6: Final answer
    x = 35,214.00

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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.