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Finding the Third Proportional to 10,000 and 20,340

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Solution

The third proportional to 10,000 and 20,340 is: 41,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000 : 20,340 = 20,340 : x
  2. Step 2: Convert to fraction form
    10,000/20,340 = 20,340/x
  3. Step 3: Cross multiply
    10,000x = 20,340 × 20,340
  4. Step 4: Simplify right side
    10,000x = 413,715,600
  5. Step 5: Solve for x
    x = 413,715,600/10,000
  6. Step 6: Final answer
    x = 41,371.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.