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Finding the Third Proportional to 8,315.75 and 12,230.38

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Solution

The third proportional to 8,315.75 and 12,230.38 is: 17,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.75 : 12,230.38 = 12,230.38 : x
  2. Step 2: Convert to fraction form
    8,315.75/12,230.38 = 12,230.38/x
  3. Step 3: Cross multiply
    8,315.75x = 12,230.38 × 12,230.38
  4. Step 4: Simplify right side
    8,315.75x = 149,582,072.64
  5. Step 5: Solve for x
    x = 149,582,072.64/8,315.75
  6. Step 6: Final answer
    x = 17,987.80

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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.