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Finding the Third Proportional to 20,176 and 30,797

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Solution

The third proportional to 20,176 and 30,797 is: 47,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176 : 30,797 = 30,797 : x
  2. Step 2: Convert to fraction form
    20,176/30,797 = 30,797/x
  3. Step 3: Cross multiply
    20,176x = 30,797 × 30,797
  4. Step 4: Simplify right side
    20,176x = 948,455,209
  5. Step 5: Solve for x
    x = 948,455,209/20,176
  6. Step 6: Final answer
    x = 47,009.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.