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Finding the Third Proportional to 5,122.41 and 7,684.88

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Solution

The third proportional to 5,122.41 and 7,684.88 is: 11,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.41 : 7,684.88 = 7,684.88 : x
  2. Step 2: Convert to fraction form
    5,122.41/7,684.88 = 7,684.88/x
  3. Step 3: Cross multiply
    5,122.41x = 7,684.88 × 7,684.88
  4. Step 4: Simplify right side
    5,122.41x = 59,057,303.77
  5. Step 5: Solve for x
    x = 59,057,303.77/5,122.41
  6. Step 6: Final answer
    x = 11,529.21

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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.