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Finding the Third Proportional to 3,672.13 and 7,762.88

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Solution

The third proportional to 3,672.13 and 7,762.88 is: 16,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.13 : 7,762.88 = 7,762.88 : x
  2. Step 2: Convert to fraction form
    3,672.13/7,762.88 = 7,762.88/x
  3. Step 3: Cross multiply
    3,672.13x = 7,762.88 × 7,762.88
  4. Step 4: Simplify right side
    3,672.13x = 60,262,228.27
  5. Step 5: Solve for x
    x = 60,262,228.27/3,672.13
  6. Step 6: Final answer
    x = 16,410.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.