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Finding the Third Proportional to 40,437 and 87,747

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Solution

The third proportional to 40,437 and 87,747 is: 190,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,437 : 87,747 = 87,747 : x
  2. Step 2: Convert to fraction form
    40,437/87,747 = 87,747/x
  3. Step 3: Cross multiply
    40,437x = 87,747 × 87,747
  4. Step 4: Simplify right side
    40,437x = 7,699,536,009
  5. Step 5: Solve for x
    x = 7,699,536,009/40,437
  6. Step 6: Final answer
    x = 190,408.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.