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Finding the Third Proportional to 16,864 and 25,712

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Solution

The third proportional to 16,864 and 25,712 is: 39,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864 : 25,712 = 25,712 : x
  2. Step 2: Convert to fraction form
    16,864/25,712 = 25,712/x
  3. Step 3: Cross multiply
    16,864x = 25,712 × 25,712
  4. Step 4: Simplify right side
    16,864x = 661,106,944
  5. Step 5: Solve for x
    x = 661,106,944/16,864
  6. Step 6: Final answer
    x = 39,202.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.