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Finding the Third Proportional to 15,771.39 and 34,743.19

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Solution

The third proportional to 15,771.39 and 34,743.19 is: 76,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.39 : 34,743.19 = 34,743.19 : x
  2. Step 2: Convert to fraction form
    15,771.39/34,743.19 = 34,743.19/x
  3. Step 3: Cross multiply
    15,771.39x = 34,743.19 × 34,743.19
  4. Step 4: Simplify right side
    15,771.39x = 1,207,088,975.87
  5. Step 5: Solve for x
    x = 1,207,088,975.87/15,771.39
  6. Step 6: Final answer
    x = 76,536.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.