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Finding the Third Proportional to 37,768 and 79,856

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Solution

The third proportional to 37,768 and 79,856 is: 168,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,768 : 79,856 = 79,856 : x
  2. Step 2: Convert to fraction form
    37,768/79,856 = 79,856/x
  3. Step 3: Cross multiply
    37,768x = 79,856 × 79,856
  4. Step 4: Simplify right side
    37,768x = 6,376,980,736
  5. Step 5: Solve for x
    x = 6,376,980,736/37,768
  6. Step 6: Final answer
    x = 168,846.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.