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Finding the Third Proportional to 32,825 and 71,590

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Solution

The third proportional to 32,825 and 71,590 is: 156,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825 : 71,590 = 71,590 : x
  2. Step 2: Convert to fraction form
    32,825/71,590 = 71,590/x
  3. Step 3: Cross multiply
    32,825x = 71,590 × 71,590
  4. Step 4: Simplify right side
    32,825x = 5,125,128,100
  5. Step 5: Solve for x
    x = 5,125,128,100/32,825
  6. Step 6: Final answer
    x = 156,134.90

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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.