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Finding the Third Proportional to 16,814 and 25,433

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Solution

The third proportional to 16,814 and 25,433 is: 38,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814 : 25,433 = 25,433 : x
  2. Step 2: Convert to fraction form
    16,814/25,433 = 25,433/x
  3. Step 3: Cross multiply
    16,814x = 25,433 × 25,433
  4. Step 4: Simplify right side
    16,814x = 646,837,489
  5. Step 5: Solve for x
    x = 646,837,489/16,814
  6. Step 6: Final answer
    x = 38,470.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.