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Finding the Third Proportional to 5,973 and 9,366

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Solution

The third proportional to 5,973 and 9,366 is: 14,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973 : 9,366 = 9,366 : x
  2. Step 2: Convert to fraction form
    5,973/9,366 = 9,366/x
  3. Step 3: Cross multiply
    5,973x = 9,366 × 9,366
  4. Step 4: Simplify right side
    5,973x = 87,721,956
  5. Step 5: Solve for x
    x = 87,721,956/5,973
  6. Step 6: Final answer
    x = 14,686.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.