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Finding the Third Proportional to 8,124 and 11,602

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Solution

The third proportional to 8,124 and 11,602 is: 16,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 11,602 = 11,602 : x
  2. Step 2: Convert to fraction form
    8,124/11,602 = 11,602/x
  3. Step 3: Cross multiply
    8,124x = 11,602 × 11,602
  4. Step 4: Simplify right side
    8,124x = 134,606,404
  5. Step 5: Solve for x
    x = 134,606,404/8,124
  6. Step 6: Final answer
    x = 16,568.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.