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Finding the Third Proportional to 11,559.38 and 17,421.75

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Solution

The third proportional to 11,559.38 and 17,421.75 is: 26,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.38 : 17,421.75 = 17,421.75 : x
  2. Step 2: Convert to fraction form
    11,559.38/17,421.75 = 17,421.75/x
  3. Step 3: Cross multiply
    11,559.38x = 17,421.75 × 17,421.75
  4. Step 4: Simplify right side
    11,559.38x = 303,517,373.06
  5. Step 5: Solve for x
    x = 303,517,373.06/11,559.38
  6. Step 6: Final answer
    x = 26,257.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.