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Finding the Third Proportional to 17,952.25 and 27,414.50

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Solution

The third proportional to 17,952.25 and 27,414.50 is: 41,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952.25 : 27,414.50 = 27,414.50 : x
  2. Step 2: Convert to fraction form
    17,952.25/27,414.50 = 27,414.50/x
  3. Step 3: Cross multiply
    17,952.25x = 27,414.50 × 27,414.50
  4. Step 4: Simplify right side
    17,952.25x = 751,554,810.25
  5. Step 5: Solve for x
    x = 751,554,810.25/17,952.25
  6. Step 6: Final answer
    x = 41,864.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.