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Finding the Third Proportional to 20,138 and 29,432

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Solution

The third proportional to 20,138 and 29,432 is: 43,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 29,432 = 29,432 : x
  2. Step 2: Convert to fraction form
    20,138/29,432 = 29,432/x
  3. Step 3: Cross multiply
    20,138x = 29,432 × 29,432
  4. Step 4: Simplify right side
    20,138x = 866,242,624
  5. Step 5: Solve for x
    x = 866,242,624/20,138
  6. Step 6: Final answer
    x = 43,015.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.