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Finding the Third Proportional to 39,641 and 89,747

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Solution

The third proportional to 39,641 and 89,747 is: 203,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,641 : 89,747 = 89,747 : x
  2. Step 2: Convert to fraction form
    39,641/89,747 = 89,747/x
  3. Step 3: Cross multiply
    39,641x = 89,747 × 89,747
  4. Step 4: Simplify right side
    39,641x = 8,054,524,009
  5. Step 5: Solve for x
    x = 8,054,524,009/39,641
  6. Step 6: Final answer
    x = 203,186.70

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.