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Finding the Third Proportional to 24,609.38 and 36,906.19

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Solution

The third proportional to 24,609.38 and 36,906.19 is: 55,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.38 : 36,906.19 = 36,906.19 : x
  2. Step 2: Convert to fraction form
    24,609.38/36,906.19 = 36,906.19/x
  3. Step 3: Cross multiply
    24,609.38x = 36,906.19 × 36,906.19
  4. Step 4: Simplify right side
    24,609.38x = 1,362,066,675.79
  5. Step 5: Solve for x
    x = 1,362,066,675.79/24,609.38
  6. Step 6: Final answer
    x = 55,347.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.