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Finding the Third Proportional to 14,930 and 20,926

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Solution

The third proportional to 14,930 and 20,926 is: 29,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930 : 20,926 = 20,926 : x
  2. Step 2: Convert to fraction form
    14,930/20,926 = 20,926/x
  3. Step 3: Cross multiply
    14,930x = 20,926 × 20,926
  4. Step 4: Simplify right side
    14,930x = 437,897,476
  5. Step 5: Solve for x
    x = 437,897,476/14,930
  6. Step 6: Final answer
    x = 29,330.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.