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Finding the Third Proportional to 5,566 and 12,176

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Solution

The third proportional to 5,566 and 12,176 is: 26,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566 : 12,176 = 12,176 : x
  2. Step 2: Convert to fraction form
    5,566/12,176 = 12,176/x
  3. Step 3: Cross multiply
    5,566x = 12,176 × 12,176
  4. Step 4: Simplify right side
    5,566x = 148,254,976
  5. Step 5: Solve for x
    x = 148,254,976/5,566
  6. Step 6: Final answer
    x = 26,635.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.