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Finding the Third Proportional to 19,441 and 42,986

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Solution

The third proportional to 19,441 and 42,986 is: 95,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441 : 42,986 = 42,986 : x
  2. Step 2: Convert to fraction form
    19,441/42,986 = 42,986/x
  3. Step 3: Cross multiply
    19,441x = 42,986 × 42,986
  4. Step 4: Simplify right side
    19,441x = 1,847,796,196
  5. Step 5: Solve for x
    x = 1,847,796,196/19,441
  6. Step 6: Final answer
    x = 95,046.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.