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Finding the Third Proportional to 20,431 and 32,103

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Solution

The third proportional to 20,431 and 32,103 is: 50,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431 : 32,103 = 32,103 : x
  2. Step 2: Convert to fraction form
    20,431/32,103 = 32,103/x
  3. Step 3: Cross multiply
    20,431x = 32,103 × 32,103
  4. Step 4: Simplify right side
    20,431x = 1,030,602,609
  5. Step 5: Solve for x
    x = 1,030,602,609/20,431
  6. Step 6: Final answer
    x = 50,443.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.