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Finding the Third Proportional to 14,288 and 21,706

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Solution

The third proportional to 14,288 and 21,706 is: 32,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288 : 21,706 = 21,706 : x
  2. Step 2: Convert to fraction form
    14,288/21,706 = 21,706/x
  3. Step 3: Cross multiply
    14,288x = 21,706 × 21,706
  4. Step 4: Simplify right side
    14,288x = 471,150,436
  5. Step 5: Solve for x
    x = 471,150,436/14,288
  6. Step 6: Final answer
    x = 32,975.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.