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Finding the Third Proportional to 21,642 and 46,074

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Solution

The third proportional to 21,642 and 46,074 is: 98,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642 : 46,074 = 46,074 : x
  2. Step 2: Convert to fraction form
    21,642/46,074 = 46,074/x
  3. Step 3: Cross multiply
    21,642x = 46,074 × 46,074
  4. Step 4: Simplify right side
    21,642x = 2,122,813,476
  5. Step 5: Solve for x
    x = 2,122,813,476/21,642
  6. Step 6: Final answer
    x = 98,087.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.