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Finding the Third Proportional to 11,589.33 and 15,743.11

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Solution

The third proportional to 11,589.33 and 15,743.11 is: 21,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.33 : 15,743.11 = 15,743.11 : x
  2. Step 2: Convert to fraction form
    11,589.33/15,743.11 = 15,743.11/x
  3. Step 3: Cross multiply
    11,589.33x = 15,743.11 × 15,743.11
  4. Step 4: Simplify right side
    11,589.33x = 247,845,492.79
  5. Step 5: Solve for x
    x = 247,845,492.79/11,589.33
  6. Step 6: Final answer
    x = 21,385.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.