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Finding the Third Proportional to 5,196.75 and 6,312.75

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Solution

The third proportional to 5,196.75 and 6,312.75 is: 7,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.75 : 6,312.75 = 6,312.75 : x
  2. Step 2: Convert to fraction form
    5,196.75/6,312.75 = 6,312.75/x
  3. Step 3: Cross multiply
    5,196.75x = 6,312.75 × 6,312.75
  4. Step 4: Simplify right side
    5,196.75x = 39,850,812.56
  5. Step 5: Solve for x
    x = 39,850,812.56/5,196.75
  6. Step 6: Final answer
    x = 7,668.41

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.