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Finding the Third Proportional to 14,960.25 and 23,230.38

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Solution

The third proportional to 14,960.25 and 23,230.38 is: 36,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960.25 : 23,230.38 = 23,230.38 : x
  2. Step 2: Convert to fraction form
    14,960.25/23,230.38 = 23,230.38/x
  3. Step 3: Cross multiply
    14,960.25x = 23,230.38 × 23,230.38
  4. Step 4: Simplify right side
    14,960.25x = 539,650,322.64
  5. Step 5: Solve for x
    x = 539,650,322.64/14,960.25
  6. Step 6: Final answer
    x = 36,072.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.