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Finding the Third Proportional to 39,971.25 and 57,747

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Solution

The third proportional to 39,971.25 and 57,747 is: 83,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971.25 : 57,747 = 57,747 : x
  2. Step 2: Convert to fraction form
    39,971.25/57,747 = 57,747/x
  3. Step 3: Cross multiply
    39,971.25x = 57,747 × 57,747
  4. Step 4: Simplify right side
    39,971.25x = 3,334,716,009
  5. Step 5: Solve for x
    x = 3,334,716,009/39,971.25
  6. Step 6: Final answer
    x = 83,427.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.