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Finding the Third Proportional to 35,981 and 40,963

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Solution

The third proportional to 35,981 and 40,963 is: 46,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981 : 40,963 = 40,963 : x
  2. Step 2: Convert to fraction form
    35,981/40,963 = 40,963/x
  3. Step 3: Cross multiply
    35,981x = 40,963 × 40,963
  4. Step 4: Simplify right side
    35,981x = 1,677,967,369
  5. Step 5: Solve for x
    x = 1,677,967,369/35,981
  6. Step 6: Final answer
    x = 46,634.82

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.