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Finding the Third Proportional to 32,865.50 and 71,737

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Solution

The third proportional to 32,865.50 and 71,737 is: 156,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865.50 : 71,737 = 71,737 : x
  2. Step 2: Convert to fraction form
    32,865.50/71,737 = 71,737/x
  3. Step 3: Cross multiply
    32,865.50x = 71,737 × 71,737
  4. Step 4: Simplify right side
    32,865.50x = 5,146,197,169
  5. Step 5: Solve for x
    x = 5,146,197,169/32,865.50
  6. Step 6: Final answer
    x = 156,583.57

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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.