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Finding the Third Proportional to 9,176 and 13,740

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Solution

The third proportional to 9,176 and 13,740 is: 20,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176 : 13,740 = 13,740 : x
  2. Step 2: Convert to fraction form
    9,176/13,740 = 13,740/x
  3. Step 3: Cross multiply
    9,176x = 13,740 × 13,740
  4. Step 4: Simplify right side
    9,176x = 188,787,600
  5. Step 5: Solve for x
    x = 188,787,600/9,176
  6. Step 6: Final answer
    x = 20,574.06

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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.