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Finding the Third Proportional to 39,001 and 57,927.75

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Solution

The third proportional to 39,001 and 57,927.75 is: 86,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,001 : 57,927.75 = 57,927.75 : x
  2. Step 2: Convert to fraction form
    39,001/57,927.75 = 57,927.75/x
  3. Step 3: Cross multiply
    39,001x = 57,927.75 × 57,927.75
  4. Step 4: Simplify right side
    39,001x = 3,355,624,220.06
  5. Step 5: Solve for x
    x = 3,355,624,220.06/39,001
  6. Step 6: Final answer
    x = 86,039.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.