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Finding the Third Proportional to 22,069 and 28,336

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Solution

The third proportional to 22,069 and 28,336 is: 36,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,069 : 28,336 = 28,336 : x
  2. Step 2: Convert to fraction form
    22,069/28,336 = 28,336/x
  3. Step 3: Cross multiply
    22,069x = 28,336 × 28,336
  4. Step 4: Simplify right side
    22,069x = 802,928,896
  5. Step 5: Solve for x
    x = 802,928,896/22,069
  6. Step 6: Final answer
    x = 36,382.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.