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Finding the Third Proportional to 5,697 and 6,237

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Solution

The third proportional to 5,697 and 6,237 is: 6,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697 : 6,237 = 6,237 : x
  2. Step 2: Convert to fraction form
    5,697/6,237 = 6,237/x
  3. Step 3: Cross multiply
    5,697x = 6,237 × 6,237
  4. Step 4: Simplify right side
    5,697x = 38,900,169
  5. Step 5: Solve for x
    x = 38,900,169/5,697
  6. Step 6: Final answer
    x = 6,828.18

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.