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Finding the Third Proportional to 32,827 and 71,594

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Solution

The third proportional to 32,827 and 71,594 is: 156,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827 : 71,594 = 71,594 : x
  2. Step 2: Convert to fraction form
    32,827/71,594 = 71,594/x
  3. Step 3: Cross multiply
    32,827x = 71,594 × 71,594
  4. Step 4: Simplify right side
    32,827x = 5,125,700,836
  5. Step 5: Solve for x
    x = 5,125,700,836/32,827
  6. Step 6: Final answer
    x = 156,142.83

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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.