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Finding the Third Proportional to 23,342.25 and 30,639.38

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Solution

The third proportional to 23,342.25 and 30,639.38 is: 40,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.25 : 30,639.38 = 30,639.38 : x
  2. Step 2: Convert to fraction form
    23,342.25/30,639.38 = 30,639.38/x
  3. Step 3: Cross multiply
    23,342.25x = 30,639.38 × 30,639.38
  4. Step 4: Simplify right side
    23,342.25x = 938,771,300.39
  5. Step 5: Solve for x
    x = 938,771,300.39/23,342.25
  6. Step 6: Final answer
    x = 40,217.69

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.