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Finding the Third Proportional to 4,136.06 and 8,920.13

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Solution

The third proportional to 4,136.06 and 8,920.13 is: 19,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.06 : 8,920.13 = 8,920.13 : x
  2. Step 2: Convert to fraction form
    4,136.06/8,920.13 = 8,920.13/x
  3. Step 3: Cross multiply
    4,136.06x = 8,920.13 × 8,920.13
  4. Step 4: Simplify right side
    4,136.06x = 79,568,630.02
  5. Step 5: Solve for x
    x = 79,568,630.02/4,136.06
  6. Step 6: Final answer
    x = 19,237.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.