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Finding the Third Proportional to 10,341.42 and 13,609.27

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Solution

The third proportional to 10,341.42 and 13,609.27 is: 17,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.42 : 13,609.27 = 13,609.27 : x
  2. Step 2: Convert to fraction form
    10,341.42/13,609.27 = 13,609.27/x
  3. Step 3: Cross multiply
    10,341.42x = 13,609.27 × 13,609.27
  4. Step 4: Simplify right side
    10,341.42x = 185,212,110.85
  5. Step 5: Solve for x
    x = 185,212,110.85/10,341.42
  6. Step 6: Final answer
    x = 17,909.73

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.