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Finding the Third Proportional to 32,817 and 71,649

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Solution

The third proportional to 32,817 and 71,649 is: 156,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817 : 71,649 = 71,649 : x
  2. Step 2: Convert to fraction form
    32,817/71,649 = 71,649/x
  3. Step 3: Cross multiply
    32,817x = 71,649 × 71,649
  4. Step 4: Simplify right side
    32,817x = 5,133,579,201
  5. Step 5: Solve for x
    x = 5,133,579,201/32,817
  6. Step 6: Final answer
    x = 156,430.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.