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Finding the Third Proportional to 14,706 and 21,771

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Solution

The third proportional to 14,706 and 21,771 is: 32,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706 : 21,771 = 21,771 : x
  2. Step 2: Convert to fraction form
    14,706/21,771 = 21,771/x
  3. Step 3: Cross multiply
    14,706x = 21,771 × 21,771
  4. Step 4: Simplify right side
    14,706x = 473,976,441
  5. Step 5: Solve for x
    x = 473,976,441/14,706
  6. Step 6: Final answer
    x = 32,230.14

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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.