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Finding the Third Proportional to 12,613.69 and 27,328.96

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Solution

The third proportional to 12,613.69 and 27,328.96 is: 59,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.69 : 27,328.96 = 27,328.96 : x
  2. Step 2: Convert to fraction form
    12,613.69/27,328.96 = 27,328.96/x
  3. Step 3: Cross multiply
    12,613.69x = 27,328.96 × 27,328.96
  4. Step 4: Simplify right side
    12,613.69x = 746,871,892.42
  5. Step 5: Solve for x
    x = 746,871,892.42/12,613.69
  6. Step 6: Final answer
    x = 59,211.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.