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Finding the Third Proportional to 45,831 and 70,963

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Solution

The third proportional to 45,831 and 70,963 is: 109,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,831 : 70,963 = 70,963 : x
  2. Step 2: Convert to fraction form
    45,831/70,963 = 70,963/x
  3. Step 3: Cross multiply
    45,831x = 70,963 × 70,963
  4. Step 4: Simplify right side
    45,831x = 5,035,747,369
  5. Step 5: Solve for x
    x = 5,035,747,369/45,831
  6. Step 6: Final answer
    x = 109,876.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.