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Finding the Third Proportional to 3,871.13 and 8,627.63

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Solution

The third proportional to 3,871.13 and 8,627.63 is: 19,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.13 : 8,627.63 = 8,627.63 : x
  2. Step 2: Convert to fraction form
    3,871.13/8,627.63 = 8,627.63/x
  3. Step 3: Cross multiply
    3,871.13x = 8,627.63 × 8,627.63
  4. Step 4: Simplify right side
    3,871.13x = 74,435,913.14
  5. Step 5: Solve for x
    x = 74,435,913.14/3,871.13
  6. Step 6: Final answer
    x = 19,228.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.