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Finding the Third Proportional to 23,376.75 and 30,455.25

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Solution

The third proportional to 23,376.75 and 30,455.25 is: 39,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.75 : 30,455.25 = 30,455.25 : x
  2. Step 2: Convert to fraction form
    23,376.75/30,455.25 = 30,455.25/x
  3. Step 3: Cross multiply
    23,376.75x = 30,455.25 × 30,455.25
  4. Step 4: Simplify right side
    23,376.75x = 927,522,252.56
  5. Step 5: Solve for x
    x = 927,522,252.56/23,376.75
  6. Step 6: Final answer
    x = 39,677.13

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.