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Finding the Third Proportional to 21,644 and 46,576

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Solution

The third proportional to 21,644 and 46,576 is: 100,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644 : 46,576 = 46,576 : x
  2. Step 2: Convert to fraction form
    21,644/46,576 = 46,576/x
  3. Step 3: Cross multiply
    21,644x = 46,576 × 46,576
  4. Step 4: Simplify right side
    21,644x = 2,169,323,776
  5. Step 5: Solve for x
    x = 2,169,323,776/21,644
  6. Step 6: Final answer
    x = 100,227.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.