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Finding the Third Proportional to 8,116 and 14,990

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Solution

The third proportional to 8,116 and 14,990 is: 27,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116 : 14,990 = 14,990 : x
  2. Step 2: Convert to fraction form
    8,116/14,990 = 14,990/x
  3. Step 3: Cross multiply
    8,116x = 14,990 × 14,990
  4. Step 4: Simplify right side
    8,116x = 224,700,100
  5. Step 5: Solve for x
    x = 224,700,100/8,116
  6. Step 6: Final answer
    x = 27,686.06

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.