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Finding the Third Proportional to 6,805 and 9,973

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Solution

The third proportional to 6,805 and 9,973 is: 14,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805 : 9,973 = 9,973 : x
  2. Step 2: Convert to fraction form
    6,805/9,973 = 9,973/x
  3. Step 3: Cross multiply
    6,805x = 9,973 × 9,973
  4. Step 4: Simplify right side
    6,805x = 99,460,729
  5. Step 5: Solve for x
    x = 99,460,729/6,805
  6. Step 6: Final answer
    x = 14,615.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.