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Finding the Third Proportional to 6,566 and 7,982

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Solution

The third proportional to 6,566 and 7,982 is: 9,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566 : 7,982 = 7,982 : x
  2. Step 2: Convert to fraction form
    6,566/7,982 = 7,982/x
  3. Step 3: Cross multiply
    6,566x = 7,982 × 7,982
  4. Step 4: Simplify right side
    6,566x = 63,712,324
  5. Step 5: Solve for x
    x = 63,712,324/6,566
  6. Step 6: Final answer
    x = 9,703.37

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.