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Finding the Third Proportional to 8,934.75 and 13,594.13

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Solution

The third proportional to 8,934.75 and 13,594.13 is: 20,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.75 : 13,594.13 = 13,594.13 : x
  2. Step 2: Convert to fraction form
    8,934.75/13,594.13 = 13,594.13/x
  3. Step 3: Cross multiply
    8,934.75x = 13,594.13 × 13,594.13
  4. Step 4: Simplify right side
    8,934.75x = 184,800,234.52
  5. Step 5: Solve for x
    x = 184,800,234.52/8,934.75
  6. Step 6: Final answer
    x = 20,683.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.