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Finding the Third Proportional to 14,420 and 21,295

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Solution

The third proportional to 14,420 and 21,295 is: 31,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420 : 21,295 = 21,295 : x
  2. Step 2: Convert to fraction form
    14,420/21,295 = 21,295/x
  3. Step 3: Cross multiply
    14,420x = 21,295 × 21,295
  4. Step 4: Simplify right side
    14,420x = 453,477,025
  5. Step 5: Solve for x
    x = 453,477,025/14,420
  6. Step 6: Final answer
    x = 31,447.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.