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Finding the Third Proportional to 18,613.13 and 40,142.25

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Solution

The third proportional to 18,613.13 and 40,142.25 is: 86,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613.13 : 40,142.25 = 40,142.25 : x
  2. Step 2: Convert to fraction form
    18,613.13/40,142.25 = 40,142.25/x
  3. Step 3: Cross multiply
    18,613.13x = 40,142.25 × 40,142.25
  4. Step 4: Simplify right side
    18,613.13x = 1,611,400,235.06
  5. Step 5: Solve for x
    x = 1,611,400,235.06/18,613.13
  6. Step 6: Final answer
    x = 86,573.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.