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Finding the Third Proportional to 35,831 and 48,643

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Solution

The third proportional to 35,831 and 48,643 is: 66,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,831 : 48,643 = 48,643 : x
  2. Step 2: Convert to fraction form
    35,831/48,643 = 48,643/x
  3. Step 3: Cross multiply
    35,831x = 48,643 × 48,643
  4. Step 4: Simplify right side
    35,831x = 2,366,141,449
  5. Step 5: Solve for x
    x = 2,366,141,449/35,831
  6. Step 6: Final answer
    x = 66,036.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.