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Finding the Third Proportional to 10,944 and 25,692

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Solution

The third proportional to 10,944 and 25,692 is: 60,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944 : 25,692 = 25,692 : x
  2. Step 2: Convert to fraction form
    10,944/25,692 = 25,692/x
  3. Step 3: Cross multiply
    10,944x = 25,692 × 25,692
  4. Step 4: Simplify right side
    10,944x = 660,078,864
  5. Step 5: Solve for x
    x = 660,078,864/10,944
  6. Step 6: Final answer
    x = 60,314.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.