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Finding the Third Proportional to 4,114 and 7,236

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Solution

The third proportional to 4,114 and 7,236 is: 12,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114 : 7,236 = 7,236 : x
  2. Step 2: Convert to fraction form
    4,114/7,236 = 7,236/x
  3. Step 3: Cross multiply
    4,114x = 7,236 × 7,236
  4. Step 4: Simplify right side
    4,114x = 52,359,696
  5. Step 5: Solve for x
    x = 52,359,696/4,114
  6. Step 6: Final answer
    x = 12,727.20

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.