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Finding the Third Proportional to 5,216 and 7,716

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Solution

The third proportional to 5,216 and 7,716 is: 11,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216 : 7,716 = 7,716 : x
  2. Step 2: Convert to fraction form
    5,216/7,716 = 7,716/x
  3. Step 3: Cross multiply
    5,216x = 7,716 × 7,716
  4. Step 4: Simplify right side
    5,216x = 59,536,656
  5. Step 5: Solve for x
    x = 59,536,656/5,216
  6. Step 6: Final answer
    x = 11,414.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.