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Finding the Third Proportional to 5,216 and 14,084

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Solution

The third proportional to 5,216 and 14,084 is: 38,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216 : 14,084 = 14,084 : x
  2. Step 2: Convert to fraction form
    5,216/14,084 = 14,084/x
  3. Step 3: Cross multiply
    5,216x = 14,084 × 14,084
  4. Step 4: Simplify right side
    5,216x = 198,359,056
  5. Step 5: Solve for x
    x = 198,359,056/5,216
  6. Step 6: Final answer
    x = 38,028.96

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.