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Finding the Third Proportional to 21,896 and 45,349

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Solution

The third proportional to 21,896 and 45,349 is: 93,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896 : 45,349 = 45,349 : x
  2. Step 2: Convert to fraction form
    21,896/45,349 = 45,349/x
  3. Step 3: Cross multiply
    21,896x = 45,349 × 45,349
  4. Step 4: Simplify right side
    21,896x = 2,056,531,801
  5. Step 5: Solve for x
    x = 2,056,531,801/21,896
  6. Step 6: Final answer
    x = 93,922.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.