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Finding the Third Proportional to 29,768 and 52,872

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Solution

The third proportional to 29,768 and 52,872 is: 93,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,768 : 52,872 = 52,872 : x
  2. Step 2: Convert to fraction form
    29,768/52,872 = 52,872/x
  3. Step 3: Cross multiply
    29,768x = 52,872 × 52,872
  4. Step 4: Simplify right side
    29,768x = 2,795,448,384
  5. Step 5: Solve for x
    x = 2,795,448,384/29,768
  6. Step 6: Final answer
    x = 93,907.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.