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Finding the Third Proportional to 20,173 and 32,043

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Solution

The third proportional to 20,173 and 32,043 is: 50,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173 : 32,043 = 32,043 : x
  2. Step 2: Convert to fraction form
    20,173/32,043 = 32,043/x
  3. Step 3: Cross multiply
    20,173x = 32,043 × 32,043
  4. Step 4: Simplify right side
    20,173x = 1,026,753,849
  5. Step 5: Solve for x
    x = 1,026,753,849/20,173
  6. Step 6: Final answer
    x = 50,897.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.