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Finding the Third Proportional to 5,673.75 and 6,213.75

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Solution

The third proportional to 5,673.75 and 6,213.75 is: 6,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.75 : 6,213.75 = 6,213.75 : x
  2. Step 2: Convert to fraction form
    5,673.75/6,213.75 = 6,213.75/x
  3. Step 3: Cross multiply
    5,673.75x = 6,213.75 × 6,213.75
  4. Step 4: Simplify right side
    5,673.75x = 38,610,689.06
  5. Step 5: Solve for x
    x = 38,610,689.06/5,673.75
  6. Step 6: Final answer
    x = 6,805.14

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.