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Finding the Third Proportional to 21,824 and 47,896

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Solution

The third proportional to 21,824 and 47,896 is: 105,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824 : 47,896 = 47,896 : x
  2. Step 2: Convert to fraction form
    21,824/47,896 = 47,896/x
  3. Step 3: Cross multiply
    21,824x = 47,896 × 47,896
  4. Step 4: Simplify right side
    21,824x = 2,294,026,816
  5. Step 5: Solve for x
    x = 2,294,026,816/21,824
  6. Step 6: Final answer
    x = 105,114.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.