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Finding the Third Proportional to 9,137 and 13,706

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Solution

The third proportional to 9,137 and 13,706 is: 20,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137 : 13,706 = 13,706 : x
  2. Step 2: Convert to fraction form
    9,137/13,706 = 13,706/x
  3. Step 3: Cross multiply
    9,137x = 13,706 × 13,706
  4. Step 4: Simplify right side
    9,137x = 187,854,436
  5. Step 5: Solve for x
    x = 187,854,436/9,137
  6. Step 6: Final answer
    x = 20,559.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.