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Finding the Third Proportional to 39,376 and 73,004

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Solution

The third proportional to 39,376 and 73,004 is: 135,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,376 : 73,004 = 73,004 : x
  2. Step 2: Convert to fraction form
    39,376/73,004 = 73,004/x
  3. Step 3: Cross multiply
    39,376x = 73,004 × 73,004
  4. Step 4: Simplify right side
    39,376x = 5,329,584,016
  5. Step 5: Solve for x
    x = 5,329,584,016/39,376
  6. Step 6: Final answer
    x = 135,351.08

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.