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Finding the Third Proportional to 14,421 and 21,073

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Solution

The third proportional to 14,421 and 21,073 is: 30,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421 : 21,073 = 21,073 : x
  2. Step 2: Convert to fraction form
    14,421/21,073 = 21,073/x
  3. Step 3: Cross multiply
    14,421x = 21,073 × 21,073
  4. Step 4: Simplify right side
    14,421x = 444,071,329
  5. Step 5: Solve for x
    x = 444,071,329/14,421
  6. Step 6: Final answer
    x = 30,793.38

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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.