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Finding the Third Proportional to 21,952 and 45,824

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Solution

The third proportional to 21,952 and 45,824 is: 95,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952 : 45,824 = 45,824 : x
  2. Step 2: Convert to fraction form
    21,952/45,824 = 45,824/x
  3. Step 3: Cross multiply
    21,952x = 45,824 × 45,824
  4. Step 4: Simplify right side
    21,952x = 2,099,838,976
  5. Step 5: Solve for x
    x = 2,099,838,976/21,952
  6. Step 6: Final answer
    x = 95,655.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.