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Finding the Third Proportional to 39,747 and 87,330

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Solution

The third proportional to 39,747 and 87,330 is: 191,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,747 : 87,330 = 87,330 : x
  2. Step 2: Convert to fraction form
    39,747/87,330 = 87,330/x
  3. Step 3: Cross multiply
    39,747x = 87,330 × 87,330
  4. Step 4: Simplify right side
    39,747x = 7,626,528,900
  5. Step 5: Solve for x
    x = 7,626,528,900/39,747
  6. Step 6: Final answer
    x = 191,876.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.