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Finding the Third Proportional to 10,241.60 and 13,613.22

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Solution

The third proportional to 10,241.60 and 13,613.22 is: 18,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.60 : 13,613.22 = 13,613.22 : x
  2. Step 2: Convert to fraction form
    10,241.60/13,613.22 = 13,613.22/x
  3. Step 3: Cross multiply
    10,241.60x = 13,613.22 × 13,613.22
  4. Step 4: Simplify right side
    10,241.60x = 185,319,777.91
  5. Step 5: Solve for x
    x = 185,319,777.91/10,241.60
  6. Step 6: Final answer
    x = 18,094.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.