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Finding the Third Proportional to 20,112 and 34,310

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Solution

The third proportional to 20,112 and 34,310 is: 58,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 34,310 = 34,310 : x
  2. Step 2: Convert to fraction form
    20,112/34,310 = 34,310/x
  3. Step 3: Cross multiply
    20,112x = 34,310 × 34,310
  4. Step 4: Simplify right side
    20,112x = 1,177,176,100
  5. Step 5: Solve for x
    x = 1,177,176,100/20,112
  6. Step 6: Final answer
    x = 58,531.03

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.