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Finding the Third Proportional to 5,238 and 7,208

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Solution

The third proportional to 5,238 and 7,208 is: 9,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,208 = 7,208 : x
  2. Step 2: Convert to fraction form
    5,238/7,208 = 7,208/x
  3. Step 3: Cross multiply
    5,238x = 7,208 × 7,208
  4. Step 4: Simplify right side
    5,238x = 51,955,264
  5. Step 5: Solve for x
    x = 51,955,264/5,238
  6. Step 6: Final answer
    x = 9,918.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.