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Finding the Third Proportional to 8,363.57 and 12,314.21

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Solution

The third proportional to 8,363.57 and 12,314.21 is: 18,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.57 : 12,314.21 = 12,314.21 : x
  2. Step 2: Convert to fraction form
    8,363.57/12,314.21 = 12,314.21/x
  3. Step 3: Cross multiply
    8,363.57x = 12,314.21 × 12,314.21
  4. Step 4: Simplify right side
    8,363.57x = 151,639,887.22
  5. Step 5: Solve for x
    x = 151,639,887.22/8,363.57
  6. Step 6: Final answer
    x = 18,131.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.