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Finding the Third Proportional to 8,217.50 and 13,416.50

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Solution

The third proportional to 8,217.50 and 13,416.50 is: 21,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.50 : 13,416.50 = 13,416.50 : x
  2. Step 2: Convert to fraction form
    8,217.50/13,416.50 = 13,416.50/x
  3. Step 3: Cross multiply
    8,217.50x = 13,416.50 × 13,416.50
  4. Step 4: Simplify right side
    8,217.50x = 180,002,472.25
  5. Step 5: Solve for x
    x = 180,002,472.25/8,217.50
  6. Step 6: Final answer
    x = 21,904.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.