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Finding the Third Proportional to 3,617 and 5,288

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Solution

The third proportional to 3,617 and 5,288 is: 7,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617 : 5,288 = 5,288 : x
  2. Step 2: Convert to fraction form
    3,617/5,288 = 5,288/x
  3. Step 3: Cross multiply
    3,617x = 5,288 × 5,288
  4. Step 4: Simplify right side
    3,617x = 27,962,944
  5. Step 5: Solve for x
    x = 27,962,944/3,617
  6. Step 6: Final answer
    x = 7,730.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.