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Finding the Third Proportional to 5,202 and 6,803

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Solution

The third proportional to 5,202 and 6,803 is: 8,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 6,803 = 6,803 : x
  2. Step 2: Convert to fraction form
    5,202/6,803 = 6,803/x
  3. Step 3: Cross multiply
    5,202x = 6,803 × 6,803
  4. Step 4: Simplify right side
    5,202x = 46,280,809
  5. Step 5: Solve for x
    x = 46,280,809/5,202
  6. Step 6: Final answer
    x = 8,896.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.