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Finding the Third Proportional to 20,796 and 30,453

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Solution

The third proportional to 20,796 and 30,453 is: 44,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796 : 30,453 = 30,453 : x
  2. Step 2: Convert to fraction form
    20,796/30,453 = 30,453/x
  3. Step 3: Cross multiply
    20,796x = 30,453 × 30,453
  4. Step 4: Simplify right side
    20,796x = 927,385,209
  5. Step 5: Solve for x
    x = 927,385,209/20,796
  6. Step 6: Final answer
    x = 44,594.40

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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.