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Finding the Third Proportional to 32,760 and 71,515

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Solution

The third proportional to 32,760 and 71,515 is: 156,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,760 : 71,515 = 71,515 : x
  2. Step 2: Convert to fraction form
    32,760/71,515 = 71,515/x
  3. Step 3: Cross multiply
    32,760x = 71,515 × 71,515
  4. Step 4: Simplify right side
    32,760x = 5,114,395,225
  5. Step 5: Solve for x
    x = 5,114,395,225/32,760
  6. Step 6: Final answer
    x = 156,117.07

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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.