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Finding the Third Proportional to 6,533 and 7,937

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Solution

The third proportional to 6,533 and 7,937 is: 9,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533 : 7,937 = 7,937 : x
  2. Step 2: Convert to fraction form
    6,533/7,937 = 7,937/x
  3. Step 3: Cross multiply
    6,533x = 7,937 × 7,937
  4. Step 4: Simplify right side
    6,533x = 62,995,969
  5. Step 5: Solve for x
    x = 62,995,969/6,533
  6. Step 6: Final answer
    x = 9,642.73

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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.