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Finding the Third Proportional to 35,786 and 53,922

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Solution

The third proportional to 35,786 and 53,922 is: 81,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786 : 53,922 = 53,922 : x
  2. Step 2: Convert to fraction form
    35,786/53,922 = 53,922/x
  3. Step 3: Cross multiply
    35,786x = 53,922 × 53,922
  4. Step 4: Simplify right side
    35,786x = 2,907,582,084
  5. Step 5: Solve for x
    x = 2,907,582,084/35,786
  6. Step 6: Final answer
    x = 81,249.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.