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Finding the Third Proportional to 14,168 and 20,820

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Solution

The third proportional to 14,168 and 20,820 is: 30,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,168 : 20,820 = 20,820 : x
  2. Step 2: Convert to fraction form
    14,168/20,820 = 20,820/x
  3. Step 3: Cross multiply
    14,168x = 20,820 × 20,820
  4. Step 4: Simplify right side
    14,168x = 433,472,400
  5. Step 5: Solve for x
    x = 433,472,400/14,168
  6. Step 6: Final answer
    x = 30,595.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.