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Finding the Third Proportional to 14,205.38 and 22,284.28

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Solution

The third proportional to 14,205.38 and 22,284.28 is: 34,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.38 : 22,284.28 = 22,284.28 : x
  2. Step 2: Convert to fraction form
    14,205.38/22,284.28 = 22,284.28/x
  3. Step 3: Cross multiply
    14,205.38x = 22,284.28 × 22,284.28
  4. Step 4: Simplify right side
    14,205.38x = 496,589,190.83
  5. Step 5: Solve for x
    x = 496,589,190.83/14,205.38
  6. Step 6: Final answer
    x = 34,957.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.