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Finding the Third Proportional to 37,676.25 and 77,802.75

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Solution

The third proportional to 37,676.25 and 77,802.75 is: 160,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,676.25 : 77,802.75 = 77,802.75 : x
  2. Step 2: Convert to fraction form
    37,676.25/77,802.75 = 77,802.75/x
  3. Step 3: Cross multiply
    37,676.25x = 77,802.75 × 77,802.75
  4. Step 4: Simplify right side
    37,676.25x = 6,053,267,907.56
  5. Step 5: Solve for x
    x = 6,053,267,907.56/37,676.25
  6. Step 6: Final answer
    x = 160,665.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.