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Finding the Third Proportional to 33,564 and 71,376

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Solution

The third proportional to 33,564 and 71,376 is: 151,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564 : 71,376 = 71,376 : x
  2. Step 2: Convert to fraction form
    33,564/71,376 = 71,376/x
  3. Step 3: Cross multiply
    33,564x = 71,376 × 71,376
  4. Step 4: Simplify right side
    33,564x = 5,094,533,376
  5. Step 5: Solve for x
    x = 5,094,533,376/33,564
  6. Step 6: Final answer
    x = 151,785.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.