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Finding the Third Proportional to 3,852.56 and 6,107.91

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Solution

The third proportional to 3,852.56 and 6,107.91 is: 9,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.56 : 6,107.91 = 6,107.91 : x
  2. Step 2: Convert to fraction form
    3,852.56/6,107.91 = 6,107.91/x
  3. Step 3: Cross multiply
    3,852.56x = 6,107.91 × 6,107.91
  4. Step 4: Simplify right side
    3,852.56x = 37,306,518.76
  5. Step 5: Solve for x
    x = 37,306,518.76/3,852.56
  6. Step 6: Final answer
    x = 9,683.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.