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Finding the Third Proportional to 8,001 and 8,703

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Solution

The third proportional to 8,001 and 8,703 is: 9,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 8,703 = 8,703 : x
  2. Step 2: Convert to fraction form
    8,001/8,703 = 8,703/x
  3. Step 3: Cross multiply
    8,001x = 8,703 × 8,703
  4. Step 4: Simplify right side
    8,001x = 75,742,209
  5. Step 5: Solve for x
    x = 75,742,209/8,001
  6. Step 6: Final answer
    x = 9,466.59

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.