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Finding the Third Proportional to 4,216 and 7,760

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Solution

The third proportional to 4,216 and 7,760 is: 14,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216 : 7,760 = 7,760 : x
  2. Step 2: Convert to fraction form
    4,216/7,760 = 7,760/x
  3. Step 3: Cross multiply
    4,216x = 7,760 × 7,760
  4. Step 4: Simplify right side
    4,216x = 60,217,600
  5. Step 5: Solve for x
    x = 60,217,600/4,216
  6. Step 6: Final answer
    x = 14,283.11

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.