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Finding the Third Proportional to 14,392 and 21,202

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Solution

The third proportional to 14,392 and 21,202 is: 31,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392 : 21,202 = 21,202 : x
  2. Step 2: Convert to fraction form
    14,392/21,202 = 21,202/x
  3. Step 3: Cross multiply
    14,392x = 21,202 × 21,202
  4. Step 4: Simplify right side
    14,392x = 449,524,804
  5. Step 5: Solve for x
    x = 449,524,804/14,392
  6. Step 6: Final answer
    x = 31,234.35

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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.