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Finding the Third Proportional to 11,414.25 and 17,534.25

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Solution

The third proportional to 11,414.25 and 17,534.25 is: 26,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.25 : 17,534.25 = 17,534.25 : x
  2. Step 2: Convert to fraction form
    11,414.25/17,534.25 = 17,534.25/x
  3. Step 3: Cross multiply
    11,414.25x = 17,534.25 × 17,534.25
  4. Step 4: Simplify right side
    11,414.25x = 307,449,923.06
  5. Step 5: Solve for x
    x = 307,449,923.06/11,414.25
  6. Step 6: Final answer
    x = 26,935.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.