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Finding the Third Proportional to 21,048 and 46,272

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Solution

The third proportional to 21,048 and 46,272 is: 101,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048 : 46,272 = 46,272 : x
  2. Step 2: Convert to fraction form
    21,048/46,272 = 46,272/x
  3. Step 3: Cross multiply
    21,048x = 46,272 × 46,272
  4. Step 4: Simplify right side
    21,048x = 2,141,097,984
  5. Step 5: Solve for x
    x = 2,141,097,984/21,048
  6. Step 6: Final answer
    x = 101,724.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.