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Finding the Third Proportional to 14,269.23 and 22,725.30

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Solution

The third proportional to 14,269.23 and 22,725.30 is: 36,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.23 : 22,725.30 = 22,725.30 : x
  2. Step 2: Convert to fraction form
    14,269.23/22,725.30 = 22,725.30/x
  3. Step 3: Cross multiply
    14,269.23x = 22,725.30 × 22,725.30
  4. Step 4: Simplify right side
    14,269.23x = 516,439,473.14
  5. Step 5: Solve for x
    x = 516,439,473.14/14,269.23
  6. Step 6: Final answer
    x = 36,192.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.