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Finding the Third Proportional to 32,816 and 71,376

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Solution

The third proportional to 32,816 and 71,376 is: 155,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,816 : 71,376 = 71,376 : x
  2. Step 2: Convert to fraction form
    32,816/71,376 = 71,376/x
  3. Step 3: Cross multiply
    32,816x = 71,376 × 71,376
  4. Step 4: Simplify right side
    32,816x = 5,094,533,376
  5. Step 5: Solve for x
    x = 5,094,533,376/32,816
  6. Step 6: Final answer
    x = 155,245.41

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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.