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Finding the Third Proportional to 9,740 and 14,675

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Solution

The third proportional to 9,740 and 14,675 is: 22,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740 : 14,675 = 14,675 : x
  2. Step 2: Convert to fraction form
    9,740/14,675 = 14,675/x
  3. Step 3: Cross multiply
    9,740x = 14,675 × 14,675
  4. Step 4: Simplify right side
    9,740x = 215,355,625
  5. Step 5: Solve for x
    x = 215,355,625/9,740
  6. Step 6: Final answer
    x = 22,110.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.