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Finding the Third Proportional to 32,614 and 68,731

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Solution

The third proportional to 32,614 and 68,731 is: 144,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614 : 68,731 = 68,731 : x
  2. Step 2: Convert to fraction form
    32,614/68,731 = 68,731/x
  3. Step 3: Cross multiply
    32,614x = 68,731 × 68,731
  4. Step 4: Simplify right side
    32,614x = 4,723,950,361
  5. Step 5: Solve for x
    x = 4,723,950,361/32,614
  6. Step 6: Final answer
    x = 144,844.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.