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Finding the Third Proportional to 39,004 and 57,043

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Solution

The third proportional to 39,004 and 57,043 is: 83,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,004 : 57,043 = 57,043 : x
  2. Step 2: Convert to fraction form
    39,004/57,043 = 57,043/x
  3. Step 3: Cross multiply
    39,004x = 57,043 × 57,043
  4. Step 4: Simplify right side
    39,004x = 3,253,903,849
  5. Step 5: Solve for x
    x = 3,253,903,849/39,004
  6. Step 6: Final answer
    x = 83,424.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.