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Finding the Third Proportional to 6,588 and 7,992

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Solution

The third proportional to 6,588 and 7,992 is: 9,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588 : 7,992 = 7,992 : x
  2. Step 2: Convert to fraction form
    6,588/7,992 = 7,992/x
  3. Step 3: Cross multiply
    6,588x = 7,992 × 7,992
  4. Step 4: Simplify right side
    6,588x = 63,872,064
  5. Step 5: Solve for x
    x = 63,872,064/6,588
  6. Step 6: Final answer
    x = 9,695.21

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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.