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Finding the Third Proportional to 8,528 and 14,176

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Solution

The third proportional to 8,528 and 14,176 is: 23,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528 : 14,176 = 14,176 : x
  2. Step 2: Convert to fraction form
    8,528/14,176 = 14,176/x
  3. Step 3: Cross multiply
    8,528x = 14,176 × 14,176
  4. Step 4: Simplify right side
    8,528x = 200,958,976
  5. Step 5: Solve for x
    x = 200,958,976/8,528
  6. Step 6: Final answer
    x = 23,564.61

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.