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Finding the Third Proportional to 11,432.23 and 17,594.09

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Solution

The third proportional to 11,432.23 and 17,594.09 is: 27,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.23 : 17,594.09 = 17,594.09 : x
  2. Step 2: Convert to fraction form
    11,432.23/17,594.09 = 17,594.09/x
  3. Step 3: Cross multiply
    11,432.23x = 17,594.09 × 17,594.09
  4. Step 4: Simplify right side
    11,432.23x = 309,551,859.98
  5. Step 5: Solve for x
    x = 309,551,859.98/11,432.23
  6. Step 6: Final answer
    x = 27,077.11

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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.