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Finding the Third Proportional to 11,909.25 and 18,056.25

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Solution

The third proportional to 11,909.25 and 18,056.25 is: 27,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.25 : 18,056.25 = 18,056.25 : x
  2. Step 2: Convert to fraction form
    11,909.25/18,056.25 = 18,056.25/x
  3. Step 3: Cross multiply
    11,909.25x = 18,056.25 × 18,056.25
  4. Step 4: Simplify right side
    11,909.25x = 326,028,164.06
  5. Step 5: Solve for x
    x = 326,028,164.06/11,909.25
  6. Step 6: Final answer
    x = 27,376.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.