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Finding the Third Proportional to 25,239.75 and 37,371

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Solution

The third proportional to 25,239.75 and 37,371 is: 55,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,239.75 : 37,371 = 37,371 : x
  2. Step 2: Convert to fraction form
    25,239.75/37,371 = 37,371/x
  3. Step 3: Cross multiply
    25,239.75x = 37,371 × 37,371
  4. Step 4: Simplify right side
    25,239.75x = 1,396,591,641
  5. Step 5: Solve for x
    x = 1,396,591,641/25,239.75
  6. Step 6: Final answer
    x = 55,333.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.