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Finding the Third Proportional to 1,860.05 and 3,856.78

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Solution

The third proportional to 1,860.05 and 3,856.78 is: 7,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.05 : 3,856.78 = 3,856.78 : x
  2. Step 2: Convert to fraction form
    1,860.05/3,856.78 = 3,856.78/x
  3. Step 3: Cross multiply
    1,860.05x = 3,856.78 × 3,856.78
  4. Step 4: Simplify right side
    1,860.05x = 14,874,761.61
  5. Step 5: Solve for x
    x = 14,874,761.61/1,860.05
  6. Step 6: Final answer
    x = 7,996.98

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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.