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Finding the Third Proportional to 5,636 and 6,239

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Solution

The third proportional to 5,636 and 6,239 is: 6,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636 : 6,239 = 6,239 : x
  2. Step 2: Convert to fraction form
    5,636/6,239 = 6,239/x
  3. Step 3: Cross multiply
    5,636x = 6,239 × 6,239
  4. Step 4: Simplify right side
    5,636x = 38,925,121
  5. Step 5: Solve for x
    x = 38,925,121/5,636
  6. Step 6: Final answer
    x = 6,906.52

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.