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Finding the Third Proportional to 5,223.94 and 8,416.69

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Solution

The third proportional to 5,223.94 and 8,416.69 is: 13,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.94 : 8,416.69 = 8,416.69 : x
  2. Step 2: Convert to fraction form
    5,223.94/8,416.69 = 8,416.69/x
  3. Step 3: Cross multiply
    5,223.94x = 8,416.69 × 8,416.69
  4. Step 4: Simplify right side
    5,223.94x = 70,840,628.47
  5. Step 5: Solve for x
    x = 70,840,628.47/5,223.94
  6. Step 6: Final answer
    x = 13,560.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.