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Finding the Third Proportional to 8,214.75 and 13,240.13

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Solution

The third proportional to 8,214.75 and 13,240.13 is: 21,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.75 : 13,240.13 = 13,240.13 : x
  2. Step 2: Convert to fraction form
    8,214.75/13,240.13 = 13,240.13/x
  3. Step 3: Cross multiply
    8,214.75x = 13,240.13 × 13,240.13
  4. Step 4: Simplify right side
    8,214.75x = 175,300,910.02
  5. Step 5: Solve for x
    x = 175,300,910.02/8,214.75
  6. Step 6: Final answer
    x = 21,339.77

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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.