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Finding the Third Proportional to 6,176 and 9,226

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Solution

The third proportional to 6,176 and 9,226 is: 13,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176 : 9,226 = 9,226 : x
  2. Step 2: Convert to fraction form
    6,176/9,226 = 9,226/x
  3. Step 3: Cross multiply
    6,176x = 9,226 × 9,226
  4. Step 4: Simplify right side
    6,176x = 85,119,076
  5. Step 5: Solve for x
    x = 85,119,076/6,176
  6. Step 6: Final answer
    x = 13,782.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.