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Finding the Third Proportional to 21,973 and 48,692

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Solution

The third proportional to 21,973 and 48,692 is: 107,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973 : 48,692 = 48,692 : x
  2. Step 2: Convert to fraction form
    21,973/48,692 = 48,692/x
  3. Step 3: Cross multiply
    21,973x = 48,692 × 48,692
  4. Step 4: Simplify right side
    21,973x = 2,370,910,864
  5. Step 5: Solve for x
    x = 2,370,910,864/21,973
  6. Step 6: Final answer
    x = 107,901.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.