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Finding the Third Proportional to 3,870 and 5,807

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Solution

The third proportional to 3,870 and 5,807 is: 8,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 5,807 = 5,807 : x
  2. Step 2: Convert to fraction form
    3,870/5,807 = 5,807/x
  3. Step 3: Cross multiply
    3,870x = 5,807 × 5,807
  4. Step 4: Simplify right side
    3,870x = 33,721,249
  5. Step 5: Solve for x
    x = 33,721,249/3,870
  6. Step 6: Final answer
    x = 8,713.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.