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Finding the Third Proportional to 8,114 and 12,386

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Solution

The third proportional to 8,114 and 12,386 is: 18,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114 : 12,386 = 12,386 : x
  2. Step 2: Convert to fraction form
    8,114/12,386 = 12,386/x
  3. Step 3: Cross multiply
    8,114x = 12,386 × 12,386
  4. Step 4: Simplify right side
    8,114x = 153,412,996
  5. Step 5: Solve for x
    x = 153,412,996/8,114
  6. Step 6: Final answer
    x = 18,907.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.